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Page 1
Pinnacle Day: 55th - 58th Work and Time
Work and Time
Time :- Time is the duration during which
any activity or work happens or
continues.
Work :- Work is a task or set of activities
to achieve a certain result.
E?ciency :- E?ciency is inversely
proportional to the Time taken when the
amount of work done is constant.
E?ciency ?
1
???????? ??????????
The e?ciency of work means, “How
much work one person can do in one day
(expressed in percentage)”. For example,
a person can do a job in 2 days. In other
words, we can say that he can do 50% of
the work in one day. Therefore, his
e?ciency will be 50%.
We can de?ne happening of work as:
(1.) If a person A completes a work in X
days, then the amount of work
completed by him in 1 day will be =
1
??
(2.) if a person B completes work in Y
days, then the amount of work
completed by him in 1 day will be =
1
??
(3.) From the above two points, we can
say that in one day A and B together can
complete ( + ) amount of work.
1
??
1
??
Thus, together A and B can complete the
work in ( ) days.
????
?? + ??
Here, we have assumed total work as 1
unit. Similarly, we can assume our total
work as anything as per our convenience.
The best assumption for easing out our
calculations of the total work is
assuming work as 100% or LCM of time
taken by all the persons.
The complete work can also be
considered as 1 unit. Then if A takes 4
days to ?nish a work, it means he can
?nish 1/4th of the work in 1 day.
Example :- Rahim can ?nish the work in
10 days and Ram can ?nish the same
work in 40 days. If Ram and Rahim both
work together then what is the total
number of days taken ?
Sol:-
The problem can be solved in three
different approaches.
Approach 1: Using Fractions
Ram can ?nish the work in 10 days i.e. in
one day he will do of the work.
1
10 ??h
Rahim can ?nish the work in 40 days i.e.
in one day he will do of the work.
1
40 ??h
So, in one day, both working together can
?nish = ( ) + ( ) = = of the
1
10
1
40
5
40
1
8 ??h
work. So, to complete the work they will
take 8 days.
Approach 2 : Using Percentage
(Shortcut - Recommended)
Rahim can ?nish 100 % of work in 10
days i.e. in one day he ?nishes 10% of
the work.
Ram can ?nish 100% of the work in 40
days i.e. in one day he ?nishes 2.5 % of
the work.
So, working together, in a single day they
can ?nish 12.5% of the work. So, to
complete 100% of the work, it will take
100/12.5 = 8 days.
Approach 3 : using unitary method
LCM of days (10 , 40) = 40 = (Total work)
E?ciency of ( Ram + Rahim ) = 4 + 1=5
Ram and Rahim both work together then
total number of days taken = 40/5 = 8
days.
Example :- Ravi can do a job in 10 days.
Raman can do the same job in 20 days.
They together start doing the job but
after 4 days Raman leaves. How many
more days will be required by Ravi to
complete this job alone ?
Sol:-
Approach 1 :- Ravi can ?nish a job in 10
days i.e in one day he can ?nish 10 % of
the job.
Raman can ?nish the same job in 20
days i.e. in one day he can ?nish 5 % of
the job.
So, working together, in a day they can do
10 + 5 = 15 % of the job.
In the 4 days, if they worked together,
they would have ?nished 4 × 15% = 60%
of the job.
So, Work left = 100 – 60 = 40%. This work
has to be done by Ravi who does 10 % of
the job in a day. So, to ?nish the
remaining 40%, he will take 40/ 10 = 4
more days.
Approach 2 :-
LCM of days (10 , 20 ) = 20 = Total work
E?ciency of Ravi = 2
E?ciency of Raman = 1
Work done by Ravi and Raman in 4 days
= 3 × 4 = 12 units
Remaining work = 20 - 12 = 8 units
No of days required by Ravi to complete
this work = = 4 days
8
2
Concept 1
If A takes ‘a’ days more to complete a •
work than the time taken by (A + B) to do
same work and B takes ‘b’ days more
than the time taken by (A + B) to do the
same work. Then (A + B) do the work in
days ????
We will take some examples to
understand this concepts
Example : A and B alone complete a
piece of work in 12 days and 3 days more
respectively than time taken by A and B
together, then Find in how many days A
alone can complete the work ?
Sol:- (A+B) complete the work in 12 × 3
= = 6 days 36
So, time taken by A alone to complete
the whole work in (6 + 12) = 18 days
Example : A can complete a work in 5
more days than B while A does the same
work in 9 more days than C.if (A + B) can
complete the whole work in same time in
work done by C alone does the whole
work . In how many days A alone could
complete the same work ?
Sol:- Let the time taken by C to complete
the work in x days
Then, time taken by A = (x + 9)days
Time taken by B = (x + 9) - 5 = (x + 4)
days.
Time taken by C, which is equal to that of
(A + B) = = = 6 days 9 × 4 36
So, time taken by A alone to complete
the work = 6 + 9 = 15 days
MDH Formula
MDH formula is used to compare the
works of the same nature done at two
different times using different
manpower. The MDH formula can be
represented as
Where , M = denotes the number of
men/women, D = denotes the number of
days, H = denotes the number of hours in
a day, E = denotes the e?ciency of 1
man, and W = denotes part of work done
Alternate Days
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Page 2
Pinnacle Day: 55th - 58th Work and Time
Work and Time
Time :- Time is the duration during which
any activity or work happens or
continues.
Work :- Work is a task or set of activities
to achieve a certain result.
E?ciency :- E?ciency is inversely
proportional to the Time taken when the
amount of work done is constant.
E?ciency ?
1
???????? ??????????
The e?ciency of work means, “How
much work one person can do in one day
(expressed in percentage)”. For example,
a person can do a job in 2 days. In other
words, we can say that he can do 50% of
the work in one day. Therefore, his
e?ciency will be 50%.
We can de?ne happening of work as:
(1.) If a person A completes a work in X
days, then the amount of work
completed by him in 1 day will be =
1
??
(2.) if a person B completes work in Y
days, then the amount of work
completed by him in 1 day will be =
1
??
(3.) From the above two points, we can
say that in one day A and B together can
complete ( + ) amount of work.
1
??
1
??
Thus, together A and B can complete the
work in ( ) days.
????
?? + ??
Here, we have assumed total work as 1
unit. Similarly, we can assume our total
work as anything as per our convenience.
The best assumption for easing out our
calculations of the total work is
assuming work as 100% or LCM of time
taken by all the persons.
The complete work can also be
considered as 1 unit. Then if A takes 4
days to ?nish a work, it means he can
?nish 1/4th of the work in 1 day.
Example :- Rahim can ?nish the work in
10 days and Ram can ?nish the same
work in 40 days. If Ram and Rahim both
work together then what is the total
number of days taken ?
Sol:-
The problem can be solved in three
different approaches.
Approach 1: Using Fractions
Ram can ?nish the work in 10 days i.e. in
one day he will do of the work.
1
10 ??h
Rahim can ?nish the work in 40 days i.e.
in one day he will do of the work.
1
40 ??h
So, in one day, both working together can
?nish = ( ) + ( ) = = of the
1
10
1
40
5
40
1
8 ??h
work. So, to complete the work they will
take 8 days.
Approach 2 : Using Percentage
(Shortcut - Recommended)
Rahim can ?nish 100 % of work in 10
days i.e. in one day he ?nishes 10% of
the work.
Ram can ?nish 100% of the work in 40
days i.e. in one day he ?nishes 2.5 % of
the work.
So, working together, in a single day they
can ?nish 12.5% of the work. So, to
complete 100% of the work, it will take
100/12.5 = 8 days.
Approach 3 : using unitary method
LCM of days (10 , 40) = 40 = (Total work)
E?ciency of ( Ram + Rahim ) = 4 + 1=5
Ram and Rahim both work together then
total number of days taken = 40/5 = 8
days.
Example :- Ravi can do a job in 10 days.
Raman can do the same job in 20 days.
They together start doing the job but
after 4 days Raman leaves. How many
more days will be required by Ravi to
complete this job alone ?
Sol:-
Approach 1 :- Ravi can ?nish a job in 10
days i.e in one day he can ?nish 10 % of
the job.
Raman can ?nish the same job in 20
days i.e. in one day he can ?nish 5 % of
the job.
So, working together, in a day they can do
10 + 5 = 15 % of the job.
In the 4 days, if they worked together,
they would have ?nished 4 × 15% = 60%
of the job.
So, Work left = 100 – 60 = 40%. This work
has to be done by Ravi who does 10 % of
the job in a day. So, to ?nish the
remaining 40%, he will take 40/ 10 = 4
more days.
Approach 2 :-
LCM of days (10 , 20 ) = 20 = Total work
E?ciency of Ravi = 2
E?ciency of Raman = 1
Work done by Ravi and Raman in 4 days
= 3 × 4 = 12 units
Remaining work = 20 - 12 = 8 units
No of days required by Ravi to complete
this work = = 4 days
8
2
Concept 1
If A takes ‘a’ days more to complete a •
work than the time taken by (A + B) to do
same work and B takes ‘b’ days more
than the time taken by (A + B) to do the
same work. Then (A + B) do the work in
days ????
We will take some examples to
understand this concepts
Example : A and B alone complete a
piece of work in 12 days and 3 days more
respectively than time taken by A and B
together, then Find in how many days A
alone can complete the work ?
Sol:- (A+B) complete the work in 12 × 3
= = 6 days 36
So, time taken by A alone to complete
the whole work in (6 + 12) = 18 days
Example : A can complete a work in 5
more days than B while A does the same
work in 9 more days than C.if (A + B) can
complete the whole work in same time in
work done by C alone does the whole
work . In how many days A alone could
complete the same work ?
Sol:- Let the time taken by C to complete
the work in x days
Then, time taken by A = (x + 9)days
Time taken by B = (x + 9) - 5 = (x + 4)
days.
Time taken by C, which is equal to that of
(A + B) = = = 6 days 9 × 4 36
So, time taken by A alone to complete
the work = 6 + 9 = 15 days
MDH Formula
MDH formula is used to compare the
works of the same nature done at two
different times using different
manpower. The MDH formula can be
represented as
Where , M = denotes the number of
men/women, D = denotes the number of
days, H = denotes the number of hours in
a day, E = denotes the e?ciency of 1
man, and W = denotes part of work done
Alternate Days
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Pinnacle Day: 55th - 58th Work and Time
Example :- A can complete a work in 10
days while B can complete the same
work in 15 days. In how many days will
the work be completed if they work
alternatively? (Given : A starts the work)
Solution:-
Work done in 2 days = 3 + 2 = 5 units,
5 units work = in 2 days
5 6 units work = 2 6 = 12 days. × ×
Example :- To do a certain work , A and B
work on alternate days, with B beginning
the work on the ?rst day. A can ?nish the
work alone in 27 days. If the work gets
completed in 9 days, then B alone can
1
2
?nish 5 times the same work with half
e?ciency in :
Solution:- As B starts the work, he will
work for 5 days and A will work for 4
1
2
days,
Part of work done by A in 4 days
1
2
= =
9
2 × 27
1
6
So, Part of work done by B in 5 days
= 1 - =
1
6
5
6
Time taken by B to complete the work
= 5 = 6 days. ×
6
5
Time taken by B to ?nish 5 times the
work with half e?ciency = 6 5 2 × ×
= 60 days.
(As e?ciency becomes , number of
1
2
days will be multiplied by 2 because
e?ciency and time are inversely
proportional ).
Variety Questions
Q.1. A and B can complete a job together
in 12.5 days; B and C can complete the
same job together in 18.75 days, while C
and A can complete the same job
together in 15 days. In how many days
will A, B and C together be able to
complete the same job alongside D, who
is only 40% as e?cient as C?
SSC CGL Tier II (26/10/2023)
(a) (b) (c) (d) 9
1
3
9
2
3
9
7
27
9
17
27
Q.2. A and B are equally e?cient, and
each can individually complete a piece of
work in 36 days, if none takes any
holiday. A and B started working together
on this piece of work, but A took a day
off after every ?ve days of work, while B
took a day off after every seven days of
work. If the duo had started work on 1
July 2021, on which date was the work
completed?
SSC CPO 05/10/2023 (3rd Shift)
(a) 19 July 2021 (b) 20 July 2021
(c) 22 July 2021 (d) 21 July 2021
Q.3. A can do of a piece of work in 20
1
5
days, B can do 30% of the same work in
36 days, while C can do 80% of the same
work in 160 days. B and C together
started and worked for x days. After x
days B left the work, and A joined C and
both completed the remaining work in (x
41) days. If the ratio between the work -
done by (B + C) together to the work
done by (A + C) together is 19 : 6, then
what fraction of the same work can be
completed by C alone in 2x days ?
SSC CPO 05/10/2023 (1st Shift)
(a) (b) (c) (d)
57
100
19
25
13
25
6
25
Q.4. When A alone does a piece of work,
he takes 25 days more than the time
taken by A and B to do the work together.
On the other hand, B alone takes 16 days
more than the time taken by A and B to
do the work together. How many days
will A and B, working together, take to do
the work ?
SSC CPO 04/10/2023 (1st Shift)
(a) 22 (b) 20 (c) 24 (d) 23
Q.5. A man and woman working on
alternate days can ?nish a work in 15
days if the man works on the ?rst day.
The same work is ?nished in 14.5 days if
they work on alternate days and if the
woman starts on the ?rst day. The work
will be ?nished by a man alone ________
in days.
SSC MTS 08/09/2023 (1st Shift)
(a) 25 (b) 21 (c) 15 (d) 22
Q.6. P , Q and R can complete a piece of
work in 6 days, 12 days and 15 days,
respectively. P starts working alone on
, , …, Q works alone on , , 1
????
4
??h
7
??h
2
????
5
??h
... and R works alone on , , ... 8
??h
3
????
6
??h
9
??h
This pattern is continued till the work is
completed. In how much time (in days) is
the entire work done ?
SSC MTS 06/09/2023 (3rd Shift)
(a) (b) (c) (d) 10
3
5
9
3
10
9
1
2
10
1
2
Q.7. A can complete a task in the same
time in which B and C work together. If A
and B could complete it jointly in 10 days
and C alone in 50 days, then B could
complete it independently in:
SSC CHSL 17/08/2023 (4th Shift)
(a) 26 days (b) 27 days
(c) 25 days (d) 23 days
Q.8. A man and a woman can ?nish a
work together in half the time taken by a
woman and a boy together. A boy can
?nish the work alone in 20 days and 2
women together can ?nish it in 30 days.
In how many days will the work be
?nished by 4 men?
SSC CGL 18/07/2023 (4th shift)
(a) 2 (b) 2.14 (c) 2.5 (d) 3
Q.9. A, B and C can ?nish a work in 15
days working alternately in the same
order. The e?ciency of A is the same as
that of B, and the e?ciency of C is equal
to that of A. In how many days will the
work be ?nished if they work alternately
in the order C, A and B ?
SSC CGL 26/07/2023 (3rd shift)
(a) 12 (b) 14 (c) 15 (d) 16
Q.10. A can do of a piece of work in
1
3
32 days, B can do 37 % of the same
1
2
work in 24 days, while C can do 60% of
the same work in 48 days. B and C
together started and worked for x days.
After x days, B left the work and A joined
C and both completed the remaining
work in (x + 8) days. If the ratio of the
work done by (B + C) together to the
work done by (A + C) together is 9 : 11,
then what fraction of the same work can
be completed by C alone in 3.5 x days?
SSC CGL 25/07/2023 (2nd shift)
(a) (b) (c) (d)
18
25
4
5
7
10
3
4
Q.11. (N + 18) persons, each working for
7.5 hours a day, can complete 48% of a
work in 20 days. (N + 12) persons can
complete the remaining work in 30 days,
if each of them works for 6.5 hours per
day. Determine the value of N.
SSC CGL 19/07/2023 (1st shift)
(a) 18 (b) 16 (c) 20 (d) 22
Q.12. Suresh and Anil are working on a
special project. Suresh takes 5 hours to
type 40 pages and Anil needs 6 hours to
type 32 pages on a computer. How much
time will it take them to type a 110-page
assignment if they work on two different
computers?
SSC CGL 18/07/2023 (4th shift)
(a) 8 hours 15 minutes
(b) 8 hours
(c) 7 hours 35 minutes
(d) 8 hours 40 minutes
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Page 3
Pinnacle Day: 55th - 58th Work and Time
Work and Time
Time :- Time is the duration during which
any activity or work happens or
continues.
Work :- Work is a task or set of activities
to achieve a certain result.
E?ciency :- E?ciency is inversely
proportional to the Time taken when the
amount of work done is constant.
E?ciency ?
1
???????? ??????????
The e?ciency of work means, “How
much work one person can do in one day
(expressed in percentage)”. For example,
a person can do a job in 2 days. In other
words, we can say that he can do 50% of
the work in one day. Therefore, his
e?ciency will be 50%.
We can de?ne happening of work as:
(1.) If a person A completes a work in X
days, then the amount of work
completed by him in 1 day will be =
1
??
(2.) if a person B completes work in Y
days, then the amount of work
completed by him in 1 day will be =
1
??
(3.) From the above two points, we can
say that in one day A and B together can
complete ( + ) amount of work.
1
??
1
??
Thus, together A and B can complete the
work in ( ) days.
????
?? + ??
Here, we have assumed total work as 1
unit. Similarly, we can assume our total
work as anything as per our convenience.
The best assumption for easing out our
calculations of the total work is
assuming work as 100% or LCM of time
taken by all the persons.
The complete work can also be
considered as 1 unit. Then if A takes 4
days to ?nish a work, it means he can
?nish 1/4th of the work in 1 day.
Example :- Rahim can ?nish the work in
10 days and Ram can ?nish the same
work in 40 days. If Ram and Rahim both
work together then what is the total
number of days taken ?
Sol:-
The problem can be solved in three
different approaches.
Approach 1: Using Fractions
Ram can ?nish the work in 10 days i.e. in
one day he will do of the work.
1
10 ??h
Rahim can ?nish the work in 40 days i.e.
in one day he will do of the work.
1
40 ??h
So, in one day, both working together can
?nish = ( ) + ( ) = = of the
1
10
1
40
5
40
1
8 ??h
work. So, to complete the work they will
take 8 days.
Approach 2 : Using Percentage
(Shortcut - Recommended)
Rahim can ?nish 100 % of work in 10
days i.e. in one day he ?nishes 10% of
the work.
Ram can ?nish 100% of the work in 40
days i.e. in one day he ?nishes 2.5 % of
the work.
So, working together, in a single day they
can ?nish 12.5% of the work. So, to
complete 100% of the work, it will take
100/12.5 = 8 days.
Approach 3 : using unitary method
LCM of days (10 , 40) = 40 = (Total work)
E?ciency of ( Ram + Rahim ) = 4 + 1=5
Ram and Rahim both work together then
total number of days taken = 40/5 = 8
days.
Example :- Ravi can do a job in 10 days.
Raman can do the same job in 20 days.
They together start doing the job but
after 4 days Raman leaves. How many
more days will be required by Ravi to
complete this job alone ?
Sol:-
Approach 1 :- Ravi can ?nish a job in 10
days i.e in one day he can ?nish 10 % of
the job.
Raman can ?nish the same job in 20
days i.e. in one day he can ?nish 5 % of
the job.
So, working together, in a day they can do
10 + 5 = 15 % of the job.
In the 4 days, if they worked together,
they would have ?nished 4 × 15% = 60%
of the job.
So, Work left = 100 – 60 = 40%. This work
has to be done by Ravi who does 10 % of
the job in a day. So, to ?nish the
remaining 40%, he will take 40/ 10 = 4
more days.
Approach 2 :-
LCM of days (10 , 20 ) = 20 = Total work
E?ciency of Ravi = 2
E?ciency of Raman = 1
Work done by Ravi and Raman in 4 days
= 3 × 4 = 12 units
Remaining work = 20 - 12 = 8 units
No of days required by Ravi to complete
this work = = 4 days
8
2
Concept 1
If A takes ‘a’ days more to complete a •
work than the time taken by (A + B) to do
same work and B takes ‘b’ days more
than the time taken by (A + B) to do the
same work. Then (A + B) do the work in
days ????
We will take some examples to
understand this concepts
Example : A and B alone complete a
piece of work in 12 days and 3 days more
respectively than time taken by A and B
together, then Find in how many days A
alone can complete the work ?
Sol:- (A+B) complete the work in 12 × 3
= = 6 days 36
So, time taken by A alone to complete
the whole work in (6 + 12) = 18 days
Example : A can complete a work in 5
more days than B while A does the same
work in 9 more days than C.if (A + B) can
complete the whole work in same time in
work done by C alone does the whole
work . In how many days A alone could
complete the same work ?
Sol:- Let the time taken by C to complete
the work in x days
Then, time taken by A = (x + 9)days
Time taken by B = (x + 9) - 5 = (x + 4)
days.
Time taken by C, which is equal to that of
(A + B) = = = 6 days 9 × 4 36
So, time taken by A alone to complete
the work = 6 + 9 = 15 days
MDH Formula
MDH formula is used to compare the
works of the same nature done at two
different times using different
manpower. The MDH formula can be
represented as
Where , M = denotes the number of
men/women, D = denotes the number of
days, H = denotes the number of hours in
a day, E = denotes the e?ciency of 1
man, and W = denotes part of work done
Alternate Days
www.ssccglpinnacle.com Download Pinnacle Exam Preparation App 362
Pinnacle Day: 55th - 58th Work and Time
Example :- A can complete a work in 10
days while B can complete the same
work in 15 days. In how many days will
the work be completed if they work
alternatively? (Given : A starts the work)
Solution:-
Work done in 2 days = 3 + 2 = 5 units,
5 units work = in 2 days
5 6 units work = 2 6 = 12 days. × ×
Example :- To do a certain work , A and B
work on alternate days, with B beginning
the work on the ?rst day. A can ?nish the
work alone in 27 days. If the work gets
completed in 9 days, then B alone can
1
2
?nish 5 times the same work with half
e?ciency in :
Solution:- As B starts the work, he will
work for 5 days and A will work for 4
1
2
days,
Part of work done by A in 4 days
1
2
= =
9
2 × 27
1
6
So, Part of work done by B in 5 days
= 1 - =
1
6
5
6
Time taken by B to complete the work
= 5 = 6 days. ×
6
5
Time taken by B to ?nish 5 times the
work with half e?ciency = 6 5 2 × ×
= 60 days.
(As e?ciency becomes , number of
1
2
days will be multiplied by 2 because
e?ciency and time are inversely
proportional ).
Variety Questions
Q.1. A and B can complete a job together
in 12.5 days; B and C can complete the
same job together in 18.75 days, while C
and A can complete the same job
together in 15 days. In how many days
will A, B and C together be able to
complete the same job alongside D, who
is only 40% as e?cient as C?
SSC CGL Tier II (26/10/2023)
(a) (b) (c) (d) 9
1
3
9
2
3
9
7
27
9
17
27
Q.2. A and B are equally e?cient, and
each can individually complete a piece of
work in 36 days, if none takes any
holiday. A and B started working together
on this piece of work, but A took a day
off after every ?ve days of work, while B
took a day off after every seven days of
work. If the duo had started work on 1
July 2021, on which date was the work
completed?
SSC CPO 05/10/2023 (3rd Shift)
(a) 19 July 2021 (b) 20 July 2021
(c) 22 July 2021 (d) 21 July 2021
Q.3. A can do of a piece of work in 20
1
5
days, B can do 30% of the same work in
36 days, while C can do 80% of the same
work in 160 days. B and C together
started and worked for x days. After x
days B left the work, and A joined C and
both completed the remaining work in (x
41) days. If the ratio between the work -
done by (B + C) together to the work
done by (A + C) together is 19 : 6, then
what fraction of the same work can be
completed by C alone in 2x days ?
SSC CPO 05/10/2023 (1st Shift)
(a) (b) (c) (d)
57
100
19
25
13
25
6
25
Q.4. When A alone does a piece of work,
he takes 25 days more than the time
taken by A and B to do the work together.
On the other hand, B alone takes 16 days
more than the time taken by A and B to
do the work together. How many days
will A and B, working together, take to do
the work ?
SSC CPO 04/10/2023 (1st Shift)
(a) 22 (b) 20 (c) 24 (d) 23
Q.5. A man and woman working on
alternate days can ?nish a work in 15
days if the man works on the ?rst day.
The same work is ?nished in 14.5 days if
they work on alternate days and if the
woman starts on the ?rst day. The work
will be ?nished by a man alone ________
in days.
SSC MTS 08/09/2023 (1st Shift)
(a) 25 (b) 21 (c) 15 (d) 22
Q.6. P , Q and R can complete a piece of
work in 6 days, 12 days and 15 days,
respectively. P starts working alone on
, , …, Q works alone on , , 1
????
4
??h
7
??h
2
????
5
??h
... and R works alone on , , ... 8
??h
3
????
6
??h
9
??h
This pattern is continued till the work is
completed. In how much time (in days) is
the entire work done ?
SSC MTS 06/09/2023 (3rd Shift)
(a) (b) (c) (d) 10
3
5
9
3
10
9
1
2
10
1
2
Q.7. A can complete a task in the same
time in which B and C work together. If A
and B could complete it jointly in 10 days
and C alone in 50 days, then B could
complete it independently in:
SSC CHSL 17/08/2023 (4th Shift)
(a) 26 days (b) 27 days
(c) 25 days (d) 23 days
Q.8. A man and a woman can ?nish a
work together in half the time taken by a
woman and a boy together. A boy can
?nish the work alone in 20 days and 2
women together can ?nish it in 30 days.
In how many days will the work be
?nished by 4 men?
SSC CGL 18/07/2023 (4th shift)
(a) 2 (b) 2.14 (c) 2.5 (d) 3
Q.9. A, B and C can ?nish a work in 15
days working alternately in the same
order. The e?ciency of A is the same as
that of B, and the e?ciency of C is equal
to that of A. In how many days will the
work be ?nished if they work alternately
in the order C, A and B ?
SSC CGL 26/07/2023 (3rd shift)
(a) 12 (b) 14 (c) 15 (d) 16
Q.10. A can do of a piece of work in
1
3
32 days, B can do 37 % of the same
1
2
work in 24 days, while C can do 60% of
the same work in 48 days. B and C
together started and worked for x days.
After x days, B left the work and A joined
C and both completed the remaining
work in (x + 8) days. If the ratio of the
work done by (B + C) together to the
work done by (A + C) together is 9 : 11,
then what fraction of the same work can
be completed by C alone in 3.5 x days?
SSC CGL 25/07/2023 (2nd shift)
(a) (b) (c) (d)
18
25
4
5
7
10
3
4
Q.11. (N + 18) persons, each working for
7.5 hours a day, can complete 48% of a
work in 20 days. (N + 12) persons can
complete the remaining work in 30 days,
if each of them works for 6.5 hours per
day. Determine the value of N.
SSC CGL 19/07/2023 (1st shift)
(a) 18 (b) 16 (c) 20 (d) 22
Q.12. Suresh and Anil are working on a
special project. Suresh takes 5 hours to
type 40 pages and Anil needs 6 hours to
type 32 pages on a computer. How much
time will it take them to type a 110-page
assignment if they work on two different
computers?
SSC CGL 18/07/2023 (4th shift)
(a) 8 hours 15 minutes
(b) 8 hours
(c) 7 hours 35 minutes
(d) 8 hours 40 minutes
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Pinnacle Day: 55th - 58th Work and Time
Q.13. Raja and Rocky together can
complete painting work in 5 days.
Together they both start painting, but
after 2 days, Rocky falls sick and leaves
the work. If Raja completes the
remaining painting in 4 days, ?nd the
number of days in which Rocky alone can
do the work.
SSC CGL 18/07/2023 (2nd shift)
(a) 12 days (b) 15 days
(c) 20 days (d) 10 days
Q.14. To do a certain work, Ajay and
Bharat work on alternate days, with
Bharat starting the work on the ?rst day.
Ajay can ?nish the work alone in 32 days.
If the work gets completed in exactly 8
days, then Bharat alone can ?nish 7
times the same work in __________days.
SSC CGL 14/07/2023 (4th shift)
(a) (b) 4 (c) (d) 32
28
8
32
7
Q.15. 5 women and 9 girls earn a total of
?18,720 in 9 days, while 9 women and 16
girls earn a total of ?52,080 in 14 days.
How much will 12 women and 7 girls
together earn (in ?) in 13 days?
SSC CGL 14/07/2023 (2nd shift)
(a) 42510 (b) 41990 (c) 42380 (d) 42120
Q.16. After working alone for 12 days,
Reena ?nds that only 10 percent of the
work is completed. She employs Priya
who is 40 percent more e?cient than
Reena. How many more days will they
together take to complete the remaining
work?
SSC MTS 15/06/2023 (Morning)
(a) 30 days (b) 50 days
(c) 45 days (d) 40 day
Q.17. S does half as much work as T in
of the time taken by T. If they together
1
8
complete a work in 60 days, then how
many days shall S alone take to
complete that work ?
SSC CHSL 17/03/2023 (3rd Shift)
(a) 80 days (b) 90 days
(c) 75 days (d) 100 days
Q.18. 1 man and 4 women can complete
a work in days, while 3 men and 4
65
4
women can complete it in days. In
13
2
how many days will 13 women complete
the same ?
SSC CGL 06/12/2022 (4th Shift)
(a) 20 (b) 16 (c) 14 (d) 18
Q.19. Numan does half the work as
Gagan in 4/5 the time. If together they
take 16 days to complete a piece of
work, then how long will it take Gagan to
complete the work ?
SSC CGL 05/12/2022 (1st Shift)
(a) 23 days (b) 24 days
(c) 25 days (d) 26 days
Q.20. A, B and C can complete a piece of
work separately in 10, 20 and 40 days,
respectively. In how many days will the
work be completed if A is assisted by
both B and C every third day ?
SSC CGL 01/12/2022 (2nd Shift)
(a) 8 (b) 9 (c) 10 (d) 6
2
7
2
3
Q.21. A alone can do 2/5 of a work in 12
days,B is 25 percent more e?cient than
A. C alone can do the same work in 12
days less than B. D is 25 percent less
e?cient than C. If they all work together,
then the work will be completed in how
many days?
SSC CGL Tier II (08/08/2022)
(a) (b) (c) (d)
240
53
180
43
200
51
300
47
Q.22. A man and a boy together can do a
certain amount of digging in 24 days.
Their speeds in digging are in the ratio of
4 : 3. How many days will the boy take to
complete the work if engaged alone ?
SSC CHSL 27/05/2022 ( Morning )
(a) 52 days (b) 26 days
(c) 60 days (d) 56 days
Q.23. Fourteen persons can do a work in
18 days. After 5 days of work, 6 workers
left the work, and joined back on the last
day of the work. In how many days the
work got completed?
SSC CGL 20/08/2021 (Morning)
(a) 24 (b) 12 (c) 21 (d) 27
Q.24. Each one of ?ve men
independently can complete a work in 20
days. The work is started by one person.
The next day one more person joins and
every next day one more person joins.
From the ?fth day, ?ve persons continued
working as a team. In how many days,
will the work be completed ?
SSC CGL 17/8/2021 (Evening)
(a) 2 (b) 6 (c) 3 (d) 5
Q.25. Eight persons can ?nish a work in
20 days. After 5 days they were
requested to complete the work in the
next 8 days. How many more persons
should join the group to ful?ll the
requirement?
SSC CGL 09/03/2020(Evening)
(a) 23 (b) 15 (c) 7 (d) 12
Q.26. A and B together can do a certain
amount of work in x days. Working alone,
A and B can do the same work in (x + 8)
and (x + 18) days, respectively . A and B
together will complete of the same
5
6
work in:
SSC CPO 11/12/19 (Morning)
(a) 9 days (b) 8 days
(c) 10 days (d) 12 days
Q.27. 25 persons can complete a work in
60 days. They started the work. 10
people left the work after x days. If the
whole work was completed in 80 days,
then what is the value of x ?
SSC CGL TIER II (13/09/2019)
(a) 30 (b) 8 (c) 12 (d) 15
Q.28. A is as e?cient as B and C
together. Working together A and B can
complete a work in 36 days and C alone
can complete it in 60 days. A and C work
together for 10 days. B alone will
complete the remaining work in :
SSC CGL TIER II (13/09/2019)
(a) 110 days (b) 88 days
(c) 84 days (d) 90 days
Q.29. A can do one - third of a work in 15
days, B can do 75% of the same work in
18 days and C can do the same work in
36 days. B and C work together for 8
days. In how many days will A alone
complete the remaining work ?
SSC CGL TIER II (13/09/2019)
(a) 24 days (b) 18 days
(c) 20 days (d) 16 days
Q.30. 4 men and 5 women can complete
a work in 15 days, whereas 9 men and 6
women can do it in 10 days. To complete
the same work in 7 days, how many
women should assist 4 men?
SSC CGL TIER II (12/09/2019)
(a) 11 (b) 14 (c) 12 (d) 13
Q.31. To do a certain work, the ratio of
the e?ciencies of X and Y is 5 : 4.
Working together, they can complete the
same work in 10 days. Y alone starts the
work and leaves after 5 days. The
remaining work will be completed by X
alone in :
SSC CGL TIER II (12/09/2019)
(a) 14 days (b) 12 days
(c) 15 days (d) 10 days
Q.32. A certain number of persons can
complete a work in 34 days working 9
hours a day. If the number of persons is
decreased by 40%, then how many hours
a day should the remaining persons work
to complete the work in 51 days ?
SSC CGL TIER II (11/09/2019)
(a) 9 (b) 8 (c) 12 (d) 10
Q.33. A and B have to do part of a
13
15
work together and B and C have to do
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Page 4
Pinnacle Day: 55th - 58th Work and Time
Work and Time
Time :- Time is the duration during which
any activity or work happens or
continues.
Work :- Work is a task or set of activities
to achieve a certain result.
E?ciency :- E?ciency is inversely
proportional to the Time taken when the
amount of work done is constant.
E?ciency ?
1
???????? ??????????
The e?ciency of work means, “How
much work one person can do in one day
(expressed in percentage)”. For example,
a person can do a job in 2 days. In other
words, we can say that he can do 50% of
the work in one day. Therefore, his
e?ciency will be 50%.
We can de?ne happening of work as:
(1.) If a person A completes a work in X
days, then the amount of work
completed by him in 1 day will be =
1
??
(2.) if a person B completes work in Y
days, then the amount of work
completed by him in 1 day will be =
1
??
(3.) From the above two points, we can
say that in one day A and B together can
complete ( + ) amount of work.
1
??
1
??
Thus, together A and B can complete the
work in ( ) days.
????
?? + ??
Here, we have assumed total work as 1
unit. Similarly, we can assume our total
work as anything as per our convenience.
The best assumption for easing out our
calculations of the total work is
assuming work as 100% or LCM of time
taken by all the persons.
The complete work can also be
considered as 1 unit. Then if A takes 4
days to ?nish a work, it means he can
?nish 1/4th of the work in 1 day.
Example :- Rahim can ?nish the work in
10 days and Ram can ?nish the same
work in 40 days. If Ram and Rahim both
work together then what is the total
number of days taken ?
Sol:-
The problem can be solved in three
different approaches.
Approach 1: Using Fractions
Ram can ?nish the work in 10 days i.e. in
one day he will do of the work.
1
10 ??h
Rahim can ?nish the work in 40 days i.e.
in one day he will do of the work.
1
40 ??h
So, in one day, both working together can
?nish = ( ) + ( ) = = of the
1
10
1
40
5
40
1
8 ??h
work. So, to complete the work they will
take 8 days.
Approach 2 : Using Percentage
(Shortcut - Recommended)
Rahim can ?nish 100 % of work in 10
days i.e. in one day he ?nishes 10% of
the work.
Ram can ?nish 100% of the work in 40
days i.e. in one day he ?nishes 2.5 % of
the work.
So, working together, in a single day they
can ?nish 12.5% of the work. So, to
complete 100% of the work, it will take
100/12.5 = 8 days.
Approach 3 : using unitary method
LCM of days (10 , 40) = 40 = (Total work)
E?ciency of ( Ram + Rahim ) = 4 + 1=5
Ram and Rahim both work together then
total number of days taken = 40/5 = 8
days.
Example :- Ravi can do a job in 10 days.
Raman can do the same job in 20 days.
They together start doing the job but
after 4 days Raman leaves. How many
more days will be required by Ravi to
complete this job alone ?
Sol:-
Approach 1 :- Ravi can ?nish a job in 10
days i.e in one day he can ?nish 10 % of
the job.
Raman can ?nish the same job in 20
days i.e. in one day he can ?nish 5 % of
the job.
So, working together, in a day they can do
10 + 5 = 15 % of the job.
In the 4 days, if they worked together,
they would have ?nished 4 × 15% = 60%
of the job.
So, Work left = 100 – 60 = 40%. This work
has to be done by Ravi who does 10 % of
the job in a day. So, to ?nish the
remaining 40%, he will take 40/ 10 = 4
more days.
Approach 2 :-
LCM of days (10 , 20 ) = 20 = Total work
E?ciency of Ravi = 2
E?ciency of Raman = 1
Work done by Ravi and Raman in 4 days
= 3 × 4 = 12 units
Remaining work = 20 - 12 = 8 units
No of days required by Ravi to complete
this work = = 4 days
8
2
Concept 1
If A takes ‘a’ days more to complete a •
work than the time taken by (A + B) to do
same work and B takes ‘b’ days more
than the time taken by (A + B) to do the
same work. Then (A + B) do the work in
days ????
We will take some examples to
understand this concepts
Example : A and B alone complete a
piece of work in 12 days and 3 days more
respectively than time taken by A and B
together, then Find in how many days A
alone can complete the work ?
Sol:- (A+B) complete the work in 12 × 3
= = 6 days 36
So, time taken by A alone to complete
the whole work in (6 + 12) = 18 days
Example : A can complete a work in 5
more days than B while A does the same
work in 9 more days than C.if (A + B) can
complete the whole work in same time in
work done by C alone does the whole
work . In how many days A alone could
complete the same work ?
Sol:- Let the time taken by C to complete
the work in x days
Then, time taken by A = (x + 9)days
Time taken by B = (x + 9) - 5 = (x + 4)
days.
Time taken by C, which is equal to that of
(A + B) = = = 6 days 9 × 4 36
So, time taken by A alone to complete
the work = 6 + 9 = 15 days
MDH Formula
MDH formula is used to compare the
works of the same nature done at two
different times using different
manpower. The MDH formula can be
represented as
Where , M = denotes the number of
men/women, D = denotes the number of
days, H = denotes the number of hours in
a day, E = denotes the e?ciency of 1
man, and W = denotes part of work done
Alternate Days
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Pinnacle Day: 55th - 58th Work and Time
Example :- A can complete a work in 10
days while B can complete the same
work in 15 days. In how many days will
the work be completed if they work
alternatively? (Given : A starts the work)
Solution:-
Work done in 2 days = 3 + 2 = 5 units,
5 units work = in 2 days
5 6 units work = 2 6 = 12 days. × ×
Example :- To do a certain work , A and B
work on alternate days, with B beginning
the work on the ?rst day. A can ?nish the
work alone in 27 days. If the work gets
completed in 9 days, then B alone can
1
2
?nish 5 times the same work with half
e?ciency in :
Solution:- As B starts the work, he will
work for 5 days and A will work for 4
1
2
days,
Part of work done by A in 4 days
1
2
= =
9
2 × 27
1
6
So, Part of work done by B in 5 days
= 1 - =
1
6
5
6
Time taken by B to complete the work
= 5 = 6 days. ×
6
5
Time taken by B to ?nish 5 times the
work with half e?ciency = 6 5 2 × ×
= 60 days.
(As e?ciency becomes , number of
1
2
days will be multiplied by 2 because
e?ciency and time are inversely
proportional ).
Variety Questions
Q.1. A and B can complete a job together
in 12.5 days; B and C can complete the
same job together in 18.75 days, while C
and A can complete the same job
together in 15 days. In how many days
will A, B and C together be able to
complete the same job alongside D, who
is only 40% as e?cient as C?
SSC CGL Tier II (26/10/2023)
(a) (b) (c) (d) 9
1
3
9
2
3
9
7
27
9
17
27
Q.2. A and B are equally e?cient, and
each can individually complete a piece of
work in 36 days, if none takes any
holiday. A and B started working together
on this piece of work, but A took a day
off after every ?ve days of work, while B
took a day off after every seven days of
work. If the duo had started work on 1
July 2021, on which date was the work
completed?
SSC CPO 05/10/2023 (3rd Shift)
(a) 19 July 2021 (b) 20 July 2021
(c) 22 July 2021 (d) 21 July 2021
Q.3. A can do of a piece of work in 20
1
5
days, B can do 30% of the same work in
36 days, while C can do 80% of the same
work in 160 days. B and C together
started and worked for x days. After x
days B left the work, and A joined C and
both completed the remaining work in (x
41) days. If the ratio between the work -
done by (B + C) together to the work
done by (A + C) together is 19 : 6, then
what fraction of the same work can be
completed by C alone in 2x days ?
SSC CPO 05/10/2023 (1st Shift)
(a) (b) (c) (d)
57
100
19
25
13
25
6
25
Q.4. When A alone does a piece of work,
he takes 25 days more than the time
taken by A and B to do the work together.
On the other hand, B alone takes 16 days
more than the time taken by A and B to
do the work together. How many days
will A and B, working together, take to do
the work ?
SSC CPO 04/10/2023 (1st Shift)
(a) 22 (b) 20 (c) 24 (d) 23
Q.5. A man and woman working on
alternate days can ?nish a work in 15
days if the man works on the ?rst day.
The same work is ?nished in 14.5 days if
they work on alternate days and if the
woman starts on the ?rst day. The work
will be ?nished by a man alone ________
in days.
SSC MTS 08/09/2023 (1st Shift)
(a) 25 (b) 21 (c) 15 (d) 22
Q.6. P , Q and R can complete a piece of
work in 6 days, 12 days and 15 days,
respectively. P starts working alone on
, , …, Q works alone on , , 1
????
4
??h
7
??h
2
????
5
??h
... and R works alone on , , ... 8
??h
3
????
6
??h
9
??h
This pattern is continued till the work is
completed. In how much time (in days) is
the entire work done ?
SSC MTS 06/09/2023 (3rd Shift)
(a) (b) (c) (d) 10
3
5
9
3
10
9
1
2
10
1
2
Q.7. A can complete a task in the same
time in which B and C work together. If A
and B could complete it jointly in 10 days
and C alone in 50 days, then B could
complete it independently in:
SSC CHSL 17/08/2023 (4th Shift)
(a) 26 days (b) 27 days
(c) 25 days (d) 23 days
Q.8. A man and a woman can ?nish a
work together in half the time taken by a
woman and a boy together. A boy can
?nish the work alone in 20 days and 2
women together can ?nish it in 30 days.
In how many days will the work be
?nished by 4 men?
SSC CGL 18/07/2023 (4th shift)
(a) 2 (b) 2.14 (c) 2.5 (d) 3
Q.9. A, B and C can ?nish a work in 15
days working alternately in the same
order. The e?ciency of A is the same as
that of B, and the e?ciency of C is equal
to that of A. In how many days will the
work be ?nished if they work alternately
in the order C, A and B ?
SSC CGL 26/07/2023 (3rd shift)
(a) 12 (b) 14 (c) 15 (d) 16
Q.10. A can do of a piece of work in
1
3
32 days, B can do 37 % of the same
1
2
work in 24 days, while C can do 60% of
the same work in 48 days. B and C
together started and worked for x days.
After x days, B left the work and A joined
C and both completed the remaining
work in (x + 8) days. If the ratio of the
work done by (B + C) together to the
work done by (A + C) together is 9 : 11,
then what fraction of the same work can
be completed by C alone in 3.5 x days?
SSC CGL 25/07/2023 (2nd shift)
(a) (b) (c) (d)
18
25
4
5
7
10
3
4
Q.11. (N + 18) persons, each working for
7.5 hours a day, can complete 48% of a
work in 20 days. (N + 12) persons can
complete the remaining work in 30 days,
if each of them works for 6.5 hours per
day. Determine the value of N.
SSC CGL 19/07/2023 (1st shift)
(a) 18 (b) 16 (c) 20 (d) 22
Q.12. Suresh and Anil are working on a
special project. Suresh takes 5 hours to
type 40 pages and Anil needs 6 hours to
type 32 pages on a computer. How much
time will it take them to type a 110-page
assignment if they work on two different
computers?
SSC CGL 18/07/2023 (4th shift)
(a) 8 hours 15 minutes
(b) 8 hours
(c) 7 hours 35 minutes
(d) 8 hours 40 minutes
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Pinnacle Day: 55th - 58th Work and Time
Q.13. Raja and Rocky together can
complete painting work in 5 days.
Together they both start painting, but
after 2 days, Rocky falls sick and leaves
the work. If Raja completes the
remaining painting in 4 days, ?nd the
number of days in which Rocky alone can
do the work.
SSC CGL 18/07/2023 (2nd shift)
(a) 12 days (b) 15 days
(c) 20 days (d) 10 days
Q.14. To do a certain work, Ajay and
Bharat work on alternate days, with
Bharat starting the work on the ?rst day.
Ajay can ?nish the work alone in 32 days.
If the work gets completed in exactly 8
days, then Bharat alone can ?nish 7
times the same work in __________days.
SSC CGL 14/07/2023 (4th shift)
(a) (b) 4 (c) (d) 32
28
8
32
7
Q.15. 5 women and 9 girls earn a total of
?18,720 in 9 days, while 9 women and 16
girls earn a total of ?52,080 in 14 days.
How much will 12 women and 7 girls
together earn (in ?) in 13 days?
SSC CGL 14/07/2023 (2nd shift)
(a) 42510 (b) 41990 (c) 42380 (d) 42120
Q.16. After working alone for 12 days,
Reena ?nds that only 10 percent of the
work is completed. She employs Priya
who is 40 percent more e?cient than
Reena. How many more days will they
together take to complete the remaining
work?
SSC MTS 15/06/2023 (Morning)
(a) 30 days (b) 50 days
(c) 45 days (d) 40 day
Q.17. S does half as much work as T in
of the time taken by T. If they together
1
8
complete a work in 60 days, then how
many days shall S alone take to
complete that work ?
SSC CHSL 17/03/2023 (3rd Shift)
(a) 80 days (b) 90 days
(c) 75 days (d) 100 days
Q.18. 1 man and 4 women can complete
a work in days, while 3 men and 4
65
4
women can complete it in days. In
13
2
how many days will 13 women complete
the same ?
SSC CGL 06/12/2022 (4th Shift)
(a) 20 (b) 16 (c) 14 (d) 18
Q.19. Numan does half the work as
Gagan in 4/5 the time. If together they
take 16 days to complete a piece of
work, then how long will it take Gagan to
complete the work ?
SSC CGL 05/12/2022 (1st Shift)
(a) 23 days (b) 24 days
(c) 25 days (d) 26 days
Q.20. A, B and C can complete a piece of
work separately in 10, 20 and 40 days,
respectively. In how many days will the
work be completed if A is assisted by
both B and C every third day ?
SSC CGL 01/12/2022 (2nd Shift)
(a) 8 (b) 9 (c) 10 (d) 6
2
7
2
3
Q.21. A alone can do 2/5 of a work in 12
days,B is 25 percent more e?cient than
A. C alone can do the same work in 12
days less than B. D is 25 percent less
e?cient than C. If they all work together,
then the work will be completed in how
many days?
SSC CGL Tier II (08/08/2022)
(a) (b) (c) (d)
240
53
180
43
200
51
300
47
Q.22. A man and a boy together can do a
certain amount of digging in 24 days.
Their speeds in digging are in the ratio of
4 : 3. How many days will the boy take to
complete the work if engaged alone ?
SSC CHSL 27/05/2022 ( Morning )
(a) 52 days (b) 26 days
(c) 60 days (d) 56 days
Q.23. Fourteen persons can do a work in
18 days. After 5 days of work, 6 workers
left the work, and joined back on the last
day of the work. In how many days the
work got completed?
SSC CGL 20/08/2021 (Morning)
(a) 24 (b) 12 (c) 21 (d) 27
Q.24. Each one of ?ve men
independently can complete a work in 20
days. The work is started by one person.
The next day one more person joins and
every next day one more person joins.
From the ?fth day, ?ve persons continued
working as a team. In how many days,
will the work be completed ?
SSC CGL 17/8/2021 (Evening)
(a) 2 (b) 6 (c) 3 (d) 5
Q.25. Eight persons can ?nish a work in
20 days. After 5 days they were
requested to complete the work in the
next 8 days. How many more persons
should join the group to ful?ll the
requirement?
SSC CGL 09/03/2020(Evening)
(a) 23 (b) 15 (c) 7 (d) 12
Q.26. A and B together can do a certain
amount of work in x days. Working alone,
A and B can do the same work in (x + 8)
and (x + 18) days, respectively . A and B
together will complete of the same
5
6
work in:
SSC CPO 11/12/19 (Morning)
(a) 9 days (b) 8 days
(c) 10 days (d) 12 days
Q.27. 25 persons can complete a work in
60 days. They started the work. 10
people left the work after x days. If the
whole work was completed in 80 days,
then what is the value of x ?
SSC CGL TIER II (13/09/2019)
(a) 30 (b) 8 (c) 12 (d) 15
Q.28. A is as e?cient as B and C
together. Working together A and B can
complete a work in 36 days and C alone
can complete it in 60 days. A and C work
together for 10 days. B alone will
complete the remaining work in :
SSC CGL TIER II (13/09/2019)
(a) 110 days (b) 88 days
(c) 84 days (d) 90 days
Q.29. A can do one - third of a work in 15
days, B can do 75% of the same work in
18 days and C can do the same work in
36 days. B and C work together for 8
days. In how many days will A alone
complete the remaining work ?
SSC CGL TIER II (13/09/2019)
(a) 24 days (b) 18 days
(c) 20 days (d) 16 days
Q.30. 4 men and 5 women can complete
a work in 15 days, whereas 9 men and 6
women can do it in 10 days. To complete
the same work in 7 days, how many
women should assist 4 men?
SSC CGL TIER II (12/09/2019)
(a) 11 (b) 14 (c) 12 (d) 13
Q.31. To do a certain work, the ratio of
the e?ciencies of X and Y is 5 : 4.
Working together, they can complete the
same work in 10 days. Y alone starts the
work and leaves after 5 days. The
remaining work will be completed by X
alone in :
SSC CGL TIER II (12/09/2019)
(a) 14 days (b) 12 days
(c) 15 days (d) 10 days
Q.32. A certain number of persons can
complete a work in 34 days working 9
hours a day. If the number of persons is
decreased by 40%, then how many hours
a day should the remaining persons work
to complete the work in 51 days ?
SSC CGL TIER II (11/09/2019)
(a) 9 (b) 8 (c) 12 (d) 10
Q.33. A and B have to do part of a
13
15
work together and B and C have to do
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Pinnacle Day: 55th - 58th Work and Time
th part of the work together. If the
11
20
difference between the wages of A and C
is Rs. 7600, then the total wages of A, B
and C is :
SSC MTS 21/08/2019(Afternoon)
(a) Rs. 24000 (b) Rs. 18000
(c) Rs. 36000 (d) Rs. 56000
Q.34. It is given that men are twice as
e?cient than women in respect to doing
work. If three men and two women can
complete the work in 2 days, then in how
many days can a woman working alone
complete the work?
SSC CHSL 10/07/2019 (Evening)
(a) 12 (b) 16 (c) 10 (d) 8
1
2
1
3
Q.35. Rs. 10,000 has to be distributed
among 3 craftsmen, 5 helpers and 6
labourers such that each helper receives
the amount twice as much as a labourer
receives and each craftsman receives
the amount thrice as much as a labourer
receives. What is the amount received by
the three craftsmen ?
SSC CHSL 10/07/2019 (Afternoon)
(a) Rs. 2400 (b) Rs. 4000
(c) Rs. 3600 (d) Rs. 2700
Q.36. A work can be completed by 35
workers in 30 days. If 5 workers leave
after every 10 days then in how many
days will the work be completed ?
SSC CHSL 10/07/2019 (morning )
(a) 35.5 days (b) 37.5 days
(c) 40 days (d) 50 days
Q.37. A can do 40% of a work in 6 days
and B can do 30% of the same work in 3
days. They started the work together but
B left after 2 days and A continued to
work. In how many days was the entire
work completed ?
SSC CHSL 04/07/2019 (Morning)
(a) 10 (b) 12 (c) 9 (d) 15
Q.38. A , B and C can ?nish a task in 42
days, 84 days and 28 days, respectively.
A started the work. B joined him after 3
days. If C joined them after 5 days from
the beginning, then for how many days
did A work till the completion of the task?
SSC CHSL 02/07/2019 (Afternoon)
(a) 20 (b) 15 (c) 17 (d) 18
Q.39. A earns Rs 180 per hour and works
for 7 hours per day. B earns Rs. 160 per
hour and works for 5 hours per day. what
is the ratio of per day wages of A and B?
SSC CGL 13/06/2019 (Evening)
(a) 40:61 (b) 33:20 (c) 20:30 (d) 63:40
Q.40. 3 men, 4 women and 6 boys
together can complete a work in 6 days.
A woman does triple the work a man
does and a boy does half the work a man
does. How many women alone will be
able to complete this work in 4 days?
SSC CGL 13/06/2019 (Evening)
(a) 9 (b) 6 (c) 8 (d) 7
Q.41. A is 40% more e?cient than B and
C is 20% less e?cient than B. Working
together, they can ?nish a work in 5 days.
In how many days, will A alone complete
70% of the work?
SSC CGL 10/06/2019 (Afternoon)
(a) 9 (b) 7 (c) 10 (d) 8
Q.42. To do a certain work , A and B work
on alternate days, with B beginning the
work on the ?rst day. A can ?nish the
work alone in 48 days. If the work gets
completed in 11 days, then B alone
1
3
can ?nish 4 times the same work in :
SSC CGL 07/06/2019 (Afternoon)
(a) 24 days (b) 32 days
(c) 27 days (d) 30 days
Q.43. A can do a work in 20 days, while B
can do the same work in 25 days. They
started the work jointly. Few days later C
also joined them and thus all of them
completed the whole work in 10 days. All
of them were paid a total of Rs. 700.
What is the share of C?
SSC CPO 16/03/2019 (Evening)
(a) 55 (b) 65 (c) 75 (d) 70
Q.44. 36 persons working 8 hours a day
can do 3 units of work in 12 days. How
many persons are required to do 5 units
of that work in 16 days, if they work for 6
hours a day?
SSC CPO 12/03/2019 (Evening)
(a) 50 (b) 55 (c) 60 (d) 45
Practice Questions
SSC CHSL 2023 Tier - 2
Q.45. A and B can complete work in 9
days, while B and C can complete the
same work in 18 days. When working
together A, B and C, can ?nish the same
work in 8 days. How many days will it
take for A and C to complete the work
together ?
SSC CHSL Tier II 02/11/2023
(a) 11 (b) 13 (c) 12 (d) 14
SSC CPO 2023 Tier - 1
Q.46. P , Q and R, when working
individually, can complete a job in,
respectively, 36 days, 48 days and 144
days. P , Q and R start working together. P
leaves the job 12 days before completion
and Q leaves the job 8 days before
completion. R works from the beginning
till the end of the job. Determine the total
number of days taken to complete the
job.
SSC CPO 03/10/2023 (1st Shift)
(a) 30 (b) 24 (c) 27 (d) 25
Q.47. A can do a piece of work in 8 days,
while B can do it in 7 days. If they work at
it alternately beginning with A, then in
how many days will the work be
completed?
SSC CPO 03/10/2023 (2nd Shift)
(a) 7 (b) 8 (c) (d) 8
1
2
7
1
2
Q.48. P and Q can do a work together in
30 days. Q and R can do the same work
together in 24 days and R and P together
in 20 days. They started the work
together, but Q and R left after 10 days.
How many more days will P take to ?nish
the remaining work?
SSC CPO 03/10/2023 (2nd Shift)
(a) 23 (b) 19 (c) 21 (d) 18
Q.49. A hostel mess requires 217 eggs
for a week. How many eggs will it require
in total for the months of July, August
and September?
SSC CPO 03/10/2023 (2nd Shift)
(a) 2821 (b) 2790 (c) 2852 (d) 2883
Q.50. If 4 men or 6 boys can ?nish a
piece of work in 20 days, then in how
many days can 6 men and 11 boys ?nish
the same work?
SSC CPO 03/10/2023 (3rd Shift)
(a) 5 (b) 7 (c) 8 (d) 6
Q.51. Ramesh does half as much work
as Parul in of the time. If together
4
5
Ramesh and Parul take 24 days to
complete the work, then how much time
will Parul take to do it?
SSC CPO 03/10/2023 (3rd Shift)
(a) 37 days (b) 38 days
(c) 41 days (d) 39 days
Q.52. A and B undertake a project worth
?36,000. A alone can do the work in 25
days. They worked together for 5 days.
For the next ?ve days, B worked alone.
After that, A substituted B and completed
the remaining work in 5 days. The share
of A in the earnings is:
SSC CPO 04/10/2023 (1st Shift)
(a) ?21,600 (b) ?14,400
(c) ?14,600 (d) ?21,400
Q.53. In an o?ce, 75 employees can
?nish a project in 60 days. After few
days, 15 employees left the job and the
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Page 5
Pinnacle Day: 55th - 58th Work and Time
Work and Time
Time :- Time is the duration during which
any activity or work happens or
continues.
Work :- Work is a task or set of activities
to achieve a certain result.
E?ciency :- E?ciency is inversely
proportional to the Time taken when the
amount of work done is constant.
E?ciency ?
1
???????? ??????????
The e?ciency of work means, “How
much work one person can do in one day
(expressed in percentage)”. For example,
a person can do a job in 2 days. In other
words, we can say that he can do 50% of
the work in one day. Therefore, his
e?ciency will be 50%.
We can de?ne happening of work as:
(1.) If a person A completes a work in X
days, then the amount of work
completed by him in 1 day will be =
1
??
(2.) if a person B completes work in Y
days, then the amount of work
completed by him in 1 day will be =
1
??
(3.) From the above two points, we can
say that in one day A and B together can
complete ( + ) amount of work.
1
??
1
??
Thus, together A and B can complete the
work in ( ) days.
????
?? + ??
Here, we have assumed total work as 1
unit. Similarly, we can assume our total
work as anything as per our convenience.
The best assumption for easing out our
calculations of the total work is
assuming work as 100% or LCM of time
taken by all the persons.
The complete work can also be
considered as 1 unit. Then if A takes 4
days to ?nish a work, it means he can
?nish 1/4th of the work in 1 day.
Example :- Rahim can ?nish the work in
10 days and Ram can ?nish the same
work in 40 days. If Ram and Rahim both
work together then what is the total
number of days taken ?
Sol:-
The problem can be solved in three
different approaches.
Approach 1: Using Fractions
Ram can ?nish the work in 10 days i.e. in
one day he will do of the work.
1
10 ??h
Rahim can ?nish the work in 40 days i.e.
in one day he will do of the work.
1
40 ??h
So, in one day, both working together can
?nish = ( ) + ( ) = = of the
1
10
1
40
5
40
1
8 ??h
work. So, to complete the work they will
take 8 days.
Approach 2 : Using Percentage
(Shortcut - Recommended)
Rahim can ?nish 100 % of work in 10
days i.e. in one day he ?nishes 10% of
the work.
Ram can ?nish 100% of the work in 40
days i.e. in one day he ?nishes 2.5 % of
the work.
So, working together, in a single day they
can ?nish 12.5% of the work. So, to
complete 100% of the work, it will take
100/12.5 = 8 days.
Approach 3 : using unitary method
LCM of days (10 , 40) = 40 = (Total work)
E?ciency of ( Ram + Rahim ) = 4 + 1=5
Ram and Rahim both work together then
total number of days taken = 40/5 = 8
days.
Example :- Ravi can do a job in 10 days.
Raman can do the same job in 20 days.
They together start doing the job but
after 4 days Raman leaves. How many
more days will be required by Ravi to
complete this job alone ?
Sol:-
Approach 1 :- Ravi can ?nish a job in 10
days i.e in one day he can ?nish 10 % of
the job.
Raman can ?nish the same job in 20
days i.e. in one day he can ?nish 5 % of
the job.
So, working together, in a day they can do
10 + 5 = 15 % of the job.
In the 4 days, if they worked together,
they would have ?nished 4 × 15% = 60%
of the job.
So, Work left = 100 – 60 = 40%. This work
has to be done by Ravi who does 10 % of
the job in a day. So, to ?nish the
remaining 40%, he will take 40/ 10 = 4
more days.
Approach 2 :-
LCM of days (10 , 20 ) = 20 = Total work
E?ciency of Ravi = 2
E?ciency of Raman = 1
Work done by Ravi and Raman in 4 days
= 3 × 4 = 12 units
Remaining work = 20 - 12 = 8 units
No of days required by Ravi to complete
this work = = 4 days
8
2
Concept 1
If A takes ‘a’ days more to complete a •
work than the time taken by (A + B) to do
same work and B takes ‘b’ days more
than the time taken by (A + B) to do the
same work. Then (A + B) do the work in
days ????
We will take some examples to
understand this concepts
Example : A and B alone complete a
piece of work in 12 days and 3 days more
respectively than time taken by A and B
together, then Find in how many days A
alone can complete the work ?
Sol:- (A+B) complete the work in 12 × 3
= = 6 days 36
So, time taken by A alone to complete
the whole work in (6 + 12) = 18 days
Example : A can complete a work in 5
more days than B while A does the same
work in 9 more days than C.if (A + B) can
complete the whole work in same time in
work done by C alone does the whole
work . In how many days A alone could
complete the same work ?
Sol:- Let the time taken by C to complete
the work in x days
Then, time taken by A = (x + 9)days
Time taken by B = (x + 9) - 5 = (x + 4)
days.
Time taken by C, which is equal to that of
(A + B) = = = 6 days 9 × 4 36
So, time taken by A alone to complete
the work = 6 + 9 = 15 days
MDH Formula
MDH formula is used to compare the
works of the same nature done at two
different times using different
manpower. The MDH formula can be
represented as
Where , M = denotes the number of
men/women, D = denotes the number of
days, H = denotes the number of hours in
a day, E = denotes the e?ciency of 1
man, and W = denotes part of work done
Alternate Days
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Pinnacle Day: 55th - 58th Work and Time
Example :- A can complete a work in 10
days while B can complete the same
work in 15 days. In how many days will
the work be completed if they work
alternatively? (Given : A starts the work)
Solution:-
Work done in 2 days = 3 + 2 = 5 units,
5 units work = in 2 days
5 6 units work = 2 6 = 12 days. × ×
Example :- To do a certain work , A and B
work on alternate days, with B beginning
the work on the ?rst day. A can ?nish the
work alone in 27 days. If the work gets
completed in 9 days, then B alone can
1
2
?nish 5 times the same work with half
e?ciency in :
Solution:- As B starts the work, he will
work for 5 days and A will work for 4
1
2
days,
Part of work done by A in 4 days
1
2
= =
9
2 × 27
1
6
So, Part of work done by B in 5 days
= 1 - =
1
6
5
6
Time taken by B to complete the work
= 5 = 6 days. ×
6
5
Time taken by B to ?nish 5 times the
work with half e?ciency = 6 5 2 × ×
= 60 days.
(As e?ciency becomes , number of
1
2
days will be multiplied by 2 because
e?ciency and time are inversely
proportional ).
Variety Questions
Q.1. A and B can complete a job together
in 12.5 days; B and C can complete the
same job together in 18.75 days, while C
and A can complete the same job
together in 15 days. In how many days
will A, B and C together be able to
complete the same job alongside D, who
is only 40% as e?cient as C?
SSC CGL Tier II (26/10/2023)
(a) (b) (c) (d) 9
1
3
9
2
3
9
7
27
9
17
27
Q.2. A and B are equally e?cient, and
each can individually complete a piece of
work in 36 days, if none takes any
holiday. A and B started working together
on this piece of work, but A took a day
off after every ?ve days of work, while B
took a day off after every seven days of
work. If the duo had started work on 1
July 2021, on which date was the work
completed?
SSC CPO 05/10/2023 (3rd Shift)
(a) 19 July 2021 (b) 20 July 2021
(c) 22 July 2021 (d) 21 July 2021
Q.3. A can do of a piece of work in 20
1
5
days, B can do 30% of the same work in
36 days, while C can do 80% of the same
work in 160 days. B and C together
started and worked for x days. After x
days B left the work, and A joined C and
both completed the remaining work in (x
41) days. If the ratio between the work -
done by (B + C) together to the work
done by (A + C) together is 19 : 6, then
what fraction of the same work can be
completed by C alone in 2x days ?
SSC CPO 05/10/2023 (1st Shift)
(a) (b) (c) (d)
57
100
19
25
13
25
6
25
Q.4. When A alone does a piece of work,
he takes 25 days more than the time
taken by A and B to do the work together.
On the other hand, B alone takes 16 days
more than the time taken by A and B to
do the work together. How many days
will A and B, working together, take to do
the work ?
SSC CPO 04/10/2023 (1st Shift)
(a) 22 (b) 20 (c) 24 (d) 23
Q.5. A man and woman working on
alternate days can ?nish a work in 15
days if the man works on the ?rst day.
The same work is ?nished in 14.5 days if
they work on alternate days and if the
woman starts on the ?rst day. The work
will be ?nished by a man alone ________
in days.
SSC MTS 08/09/2023 (1st Shift)
(a) 25 (b) 21 (c) 15 (d) 22
Q.6. P , Q and R can complete a piece of
work in 6 days, 12 days and 15 days,
respectively. P starts working alone on
, , …, Q works alone on , , 1
????
4
??h
7
??h
2
????
5
??h
... and R works alone on , , ... 8
??h
3
????
6
??h
9
??h
This pattern is continued till the work is
completed. In how much time (in days) is
the entire work done ?
SSC MTS 06/09/2023 (3rd Shift)
(a) (b) (c) (d) 10
3
5
9
3
10
9
1
2
10
1
2
Q.7. A can complete a task in the same
time in which B and C work together. If A
and B could complete it jointly in 10 days
and C alone in 50 days, then B could
complete it independently in:
SSC CHSL 17/08/2023 (4th Shift)
(a) 26 days (b) 27 days
(c) 25 days (d) 23 days
Q.8. A man and a woman can ?nish a
work together in half the time taken by a
woman and a boy together. A boy can
?nish the work alone in 20 days and 2
women together can ?nish it in 30 days.
In how many days will the work be
?nished by 4 men?
SSC CGL 18/07/2023 (4th shift)
(a) 2 (b) 2.14 (c) 2.5 (d) 3
Q.9. A, B and C can ?nish a work in 15
days working alternately in the same
order. The e?ciency of A is the same as
that of B, and the e?ciency of C is equal
to that of A. In how many days will the
work be ?nished if they work alternately
in the order C, A and B ?
SSC CGL 26/07/2023 (3rd shift)
(a) 12 (b) 14 (c) 15 (d) 16
Q.10. A can do of a piece of work in
1
3
32 days, B can do 37 % of the same
1
2
work in 24 days, while C can do 60% of
the same work in 48 days. B and C
together started and worked for x days.
After x days, B left the work and A joined
C and both completed the remaining
work in (x + 8) days. If the ratio of the
work done by (B + C) together to the
work done by (A + C) together is 9 : 11,
then what fraction of the same work can
be completed by C alone in 3.5 x days?
SSC CGL 25/07/2023 (2nd shift)
(a) (b) (c) (d)
18
25
4
5
7
10
3
4
Q.11. (N + 18) persons, each working for
7.5 hours a day, can complete 48% of a
work in 20 days. (N + 12) persons can
complete the remaining work in 30 days,
if each of them works for 6.5 hours per
day. Determine the value of N.
SSC CGL 19/07/2023 (1st shift)
(a) 18 (b) 16 (c) 20 (d) 22
Q.12. Suresh and Anil are working on a
special project. Suresh takes 5 hours to
type 40 pages and Anil needs 6 hours to
type 32 pages on a computer. How much
time will it take them to type a 110-page
assignment if they work on two different
computers?
SSC CGL 18/07/2023 (4th shift)
(a) 8 hours 15 minutes
(b) 8 hours
(c) 7 hours 35 minutes
(d) 8 hours 40 minutes
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Q.13. Raja and Rocky together can
complete painting work in 5 days.
Together they both start painting, but
after 2 days, Rocky falls sick and leaves
the work. If Raja completes the
remaining painting in 4 days, ?nd the
number of days in which Rocky alone can
do the work.
SSC CGL 18/07/2023 (2nd shift)
(a) 12 days (b) 15 days
(c) 20 days (d) 10 days
Q.14. To do a certain work, Ajay and
Bharat work on alternate days, with
Bharat starting the work on the ?rst day.
Ajay can ?nish the work alone in 32 days.
If the work gets completed in exactly 8
days, then Bharat alone can ?nish 7
times the same work in __________days.
SSC CGL 14/07/2023 (4th shift)
(a) (b) 4 (c) (d) 32
28
8
32
7
Q.15. 5 women and 9 girls earn a total of
?18,720 in 9 days, while 9 women and 16
girls earn a total of ?52,080 in 14 days.
How much will 12 women and 7 girls
together earn (in ?) in 13 days?
SSC CGL 14/07/2023 (2nd shift)
(a) 42510 (b) 41990 (c) 42380 (d) 42120
Q.16. After working alone for 12 days,
Reena ?nds that only 10 percent of the
work is completed. She employs Priya
who is 40 percent more e?cient than
Reena. How many more days will they
together take to complete the remaining
work?
SSC MTS 15/06/2023 (Morning)
(a) 30 days (b) 50 days
(c) 45 days (d) 40 day
Q.17. S does half as much work as T in
of the time taken by T. If they together
1
8
complete a work in 60 days, then how
many days shall S alone take to
complete that work ?
SSC CHSL 17/03/2023 (3rd Shift)
(a) 80 days (b) 90 days
(c) 75 days (d) 100 days
Q.18. 1 man and 4 women can complete
a work in days, while 3 men and 4
65
4
women can complete it in days. In
13
2
how many days will 13 women complete
the same ?
SSC CGL 06/12/2022 (4th Shift)
(a) 20 (b) 16 (c) 14 (d) 18
Q.19. Numan does half the work as
Gagan in 4/5 the time. If together they
take 16 days to complete a piece of
work, then how long will it take Gagan to
complete the work ?
SSC CGL 05/12/2022 (1st Shift)
(a) 23 days (b) 24 days
(c) 25 days (d) 26 days
Q.20. A, B and C can complete a piece of
work separately in 10, 20 and 40 days,
respectively. In how many days will the
work be completed if A is assisted by
both B and C every third day ?
SSC CGL 01/12/2022 (2nd Shift)
(a) 8 (b) 9 (c) 10 (d) 6
2
7
2
3
Q.21. A alone can do 2/5 of a work in 12
days,B is 25 percent more e?cient than
A. C alone can do the same work in 12
days less than B. D is 25 percent less
e?cient than C. If they all work together,
then the work will be completed in how
many days?
SSC CGL Tier II (08/08/2022)
(a) (b) (c) (d)
240
53
180
43
200
51
300
47
Q.22. A man and a boy together can do a
certain amount of digging in 24 days.
Their speeds in digging are in the ratio of
4 : 3. How many days will the boy take to
complete the work if engaged alone ?
SSC CHSL 27/05/2022 ( Morning )
(a) 52 days (b) 26 days
(c) 60 days (d) 56 days
Q.23. Fourteen persons can do a work in
18 days. After 5 days of work, 6 workers
left the work, and joined back on the last
day of the work. In how many days the
work got completed?
SSC CGL 20/08/2021 (Morning)
(a) 24 (b) 12 (c) 21 (d) 27
Q.24. Each one of ?ve men
independently can complete a work in 20
days. The work is started by one person.
The next day one more person joins and
every next day one more person joins.
From the ?fth day, ?ve persons continued
working as a team. In how many days,
will the work be completed ?
SSC CGL 17/8/2021 (Evening)
(a) 2 (b) 6 (c) 3 (d) 5
Q.25. Eight persons can ?nish a work in
20 days. After 5 days they were
requested to complete the work in the
next 8 days. How many more persons
should join the group to ful?ll the
requirement?
SSC CGL 09/03/2020(Evening)
(a) 23 (b) 15 (c) 7 (d) 12
Q.26. A and B together can do a certain
amount of work in x days. Working alone,
A and B can do the same work in (x + 8)
and (x + 18) days, respectively . A and B
together will complete of the same
5
6
work in:
SSC CPO 11/12/19 (Morning)
(a) 9 days (b) 8 days
(c) 10 days (d) 12 days
Q.27. 25 persons can complete a work in
60 days. They started the work. 10
people left the work after x days. If the
whole work was completed in 80 days,
then what is the value of x ?
SSC CGL TIER II (13/09/2019)
(a) 30 (b) 8 (c) 12 (d) 15
Q.28. A is as e?cient as B and C
together. Working together A and B can
complete a work in 36 days and C alone
can complete it in 60 days. A and C work
together for 10 days. B alone will
complete the remaining work in :
SSC CGL TIER II (13/09/2019)
(a) 110 days (b) 88 days
(c) 84 days (d) 90 days
Q.29. A can do one - third of a work in 15
days, B can do 75% of the same work in
18 days and C can do the same work in
36 days. B and C work together for 8
days. In how many days will A alone
complete the remaining work ?
SSC CGL TIER II (13/09/2019)
(a) 24 days (b) 18 days
(c) 20 days (d) 16 days
Q.30. 4 men and 5 women can complete
a work in 15 days, whereas 9 men and 6
women can do it in 10 days. To complete
the same work in 7 days, how many
women should assist 4 men?
SSC CGL TIER II (12/09/2019)
(a) 11 (b) 14 (c) 12 (d) 13
Q.31. To do a certain work, the ratio of
the e?ciencies of X and Y is 5 : 4.
Working together, they can complete the
same work in 10 days. Y alone starts the
work and leaves after 5 days. The
remaining work will be completed by X
alone in :
SSC CGL TIER II (12/09/2019)
(a) 14 days (b) 12 days
(c) 15 days (d) 10 days
Q.32. A certain number of persons can
complete a work in 34 days working 9
hours a day. If the number of persons is
decreased by 40%, then how many hours
a day should the remaining persons work
to complete the work in 51 days ?
SSC CGL TIER II (11/09/2019)
(a) 9 (b) 8 (c) 12 (d) 10
Q.33. A and B have to do part of a
13
15
work together and B and C have to do
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th part of the work together. If the
11
20
difference between the wages of A and C
is Rs. 7600, then the total wages of A, B
and C is :
SSC MTS 21/08/2019(Afternoon)
(a) Rs. 24000 (b) Rs. 18000
(c) Rs. 36000 (d) Rs. 56000
Q.34. It is given that men are twice as
e?cient than women in respect to doing
work. If three men and two women can
complete the work in 2 days, then in how
many days can a woman working alone
complete the work?
SSC CHSL 10/07/2019 (Evening)
(a) 12 (b) 16 (c) 10 (d) 8
1
2
1
3
Q.35. Rs. 10,000 has to be distributed
among 3 craftsmen, 5 helpers and 6
labourers such that each helper receives
the amount twice as much as a labourer
receives and each craftsman receives
the amount thrice as much as a labourer
receives. What is the amount received by
the three craftsmen ?
SSC CHSL 10/07/2019 (Afternoon)
(a) Rs. 2400 (b) Rs. 4000
(c) Rs. 3600 (d) Rs. 2700
Q.36. A work can be completed by 35
workers in 30 days. If 5 workers leave
after every 10 days then in how many
days will the work be completed ?
SSC CHSL 10/07/2019 (morning )
(a) 35.5 days (b) 37.5 days
(c) 40 days (d) 50 days
Q.37. A can do 40% of a work in 6 days
and B can do 30% of the same work in 3
days. They started the work together but
B left after 2 days and A continued to
work. In how many days was the entire
work completed ?
SSC CHSL 04/07/2019 (Morning)
(a) 10 (b) 12 (c) 9 (d) 15
Q.38. A , B and C can ?nish a task in 42
days, 84 days and 28 days, respectively.
A started the work. B joined him after 3
days. If C joined them after 5 days from
the beginning, then for how many days
did A work till the completion of the task?
SSC CHSL 02/07/2019 (Afternoon)
(a) 20 (b) 15 (c) 17 (d) 18
Q.39. A earns Rs 180 per hour and works
for 7 hours per day. B earns Rs. 160 per
hour and works for 5 hours per day. what
is the ratio of per day wages of A and B?
SSC CGL 13/06/2019 (Evening)
(a) 40:61 (b) 33:20 (c) 20:30 (d) 63:40
Q.40. 3 men, 4 women and 6 boys
together can complete a work in 6 days.
A woman does triple the work a man
does and a boy does half the work a man
does. How many women alone will be
able to complete this work in 4 days?
SSC CGL 13/06/2019 (Evening)
(a) 9 (b) 6 (c) 8 (d) 7
Q.41. A is 40% more e?cient than B and
C is 20% less e?cient than B. Working
together, they can ?nish a work in 5 days.
In how many days, will A alone complete
70% of the work?
SSC CGL 10/06/2019 (Afternoon)
(a) 9 (b) 7 (c) 10 (d) 8
Q.42. To do a certain work , A and B work
on alternate days, with B beginning the
work on the ?rst day. A can ?nish the
work alone in 48 days. If the work gets
completed in 11 days, then B alone
1
3
can ?nish 4 times the same work in :
SSC CGL 07/06/2019 (Afternoon)
(a) 24 days (b) 32 days
(c) 27 days (d) 30 days
Q.43. A can do a work in 20 days, while B
can do the same work in 25 days. They
started the work jointly. Few days later C
also joined them and thus all of them
completed the whole work in 10 days. All
of them were paid a total of Rs. 700.
What is the share of C?
SSC CPO 16/03/2019 (Evening)
(a) 55 (b) 65 (c) 75 (d) 70
Q.44. 36 persons working 8 hours a day
can do 3 units of work in 12 days. How
many persons are required to do 5 units
of that work in 16 days, if they work for 6
hours a day?
SSC CPO 12/03/2019 (Evening)
(a) 50 (b) 55 (c) 60 (d) 45
Practice Questions
SSC CHSL 2023 Tier - 2
Q.45. A and B can complete work in 9
days, while B and C can complete the
same work in 18 days. When working
together A, B and C, can ?nish the same
work in 8 days. How many days will it
take for A and C to complete the work
together ?
SSC CHSL Tier II 02/11/2023
(a) 11 (b) 13 (c) 12 (d) 14
SSC CPO 2023 Tier - 1
Q.46. P , Q and R, when working
individually, can complete a job in,
respectively, 36 days, 48 days and 144
days. P , Q and R start working together. P
leaves the job 12 days before completion
and Q leaves the job 8 days before
completion. R works from the beginning
till the end of the job. Determine the total
number of days taken to complete the
job.
SSC CPO 03/10/2023 (1st Shift)
(a) 30 (b) 24 (c) 27 (d) 25
Q.47. A can do a piece of work in 8 days,
while B can do it in 7 days. If they work at
it alternately beginning with A, then in
how many days will the work be
completed?
SSC CPO 03/10/2023 (2nd Shift)
(a) 7 (b) 8 (c) (d) 8
1
2
7
1
2
Q.48. P and Q can do a work together in
30 days. Q and R can do the same work
together in 24 days and R and P together
in 20 days. They started the work
together, but Q and R left after 10 days.
How many more days will P take to ?nish
the remaining work?
SSC CPO 03/10/2023 (2nd Shift)
(a) 23 (b) 19 (c) 21 (d) 18
Q.49. A hostel mess requires 217 eggs
for a week. How many eggs will it require
in total for the months of July, August
and September?
SSC CPO 03/10/2023 (2nd Shift)
(a) 2821 (b) 2790 (c) 2852 (d) 2883
Q.50. If 4 men or 6 boys can ?nish a
piece of work in 20 days, then in how
many days can 6 men and 11 boys ?nish
the same work?
SSC CPO 03/10/2023 (3rd Shift)
(a) 5 (b) 7 (c) 8 (d) 6
Q.51. Ramesh does half as much work
as Parul in of the time. If together
4
5
Ramesh and Parul take 24 days to
complete the work, then how much time
will Parul take to do it?
SSC CPO 03/10/2023 (3rd Shift)
(a) 37 days (b) 38 days
(c) 41 days (d) 39 days
Q.52. A and B undertake a project worth
?36,000. A alone can do the work in 25
days. They worked together for 5 days.
For the next ?ve days, B worked alone.
After that, A substituted B and completed
the remaining work in 5 days. The share
of A in the earnings is:
SSC CPO 04/10/2023 (1st Shift)
(a) ?21,600 (b) ?14,400
(c) ?14,600 (d) ?21,400
Q.53. In an o?ce, 75 employees can
?nish a project in 60 days. After few
days, 15 employees left the job and the
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project was completed in 65 days. After
how many days did the 15 employees
leave ?
SSC CPO 04/10/2023 (2nd Shift)
(a) 40 (b) 50 (c) 45 (d) 30
Q.54. Akshita and Raina are typing a
book, but have only one laptop to work
upon. They decided that they will work on
alternate basis such that Akshita works
for the ?rst day, Raina works for the
second day, Akshita for the third day and
so on. Akshita alone can ?nish the typing
work in 16 days, while Raina will take 24
days if she works alone on the entire
book. How many days will they take to
?nish the typing work if they work on
alternate basis?
SSC CPO 04/10/2023 (2nd Shift)
(a) 19 (b) 15 (c) 17 (d) 18
Q.55. Sanjay and Rohan can complete a
work in 8 days and 12 days, respectively.
Starting with Sanjay, they work on
alternate days. In how many days will the
work be completed?
SSC CPO 04/10/2023 (3rd Shift)
(a) (b) (c) (d) 9
1
3
8
1
2
9
2
3
9
1
2
Q.56. 36 equally e?cient workers can
paint 25 identical walls in 48 days. In
how many days can 45 such workers
paint 60 such walls?
SSC CPO 04/10/2023 (3rd Shift)
(a) 91.96 (b) 92.16 (c) 92.36 (d) 91.16
Q.57. If 2 men or 4 women can build a
wall in 34 days, in how many days can 6
men and 5 women build the same wall ?
SSC CPO 05/10/2023 (1st Shift)
(a) 8 (b) 16 (c) 24 (d) 12
Q.58. A and B complete a work in 24 and
30 days, respectively, working 10 hours
per day. The work is to be done in two
shifts. The morning shift is for 6 hours
and the evening shift is for 4 hours. On
the ?rst day, A works in the morning and
B works in the evening, and they
interchange their shifts every day. On
which day did the work get completed ?
SSC CPO 05/10/2023 (1st Shift)
(a) 24th day (b) 27th day
(c) 30th day (d) 21st day
Q.59. Vipin can do a piece of work in 2
days; Vaibhav can do the same work in 3
days and Chirag can do the same work in
6 days. If they start working together,
how many days will they take to
complete the work ?
SSC CPO 05/10/2023 (2nd Shift)
(a) 3 (b) 5 (c) 1 (d) 4
Q.60. Robert takes twice as much time
as Tom and thrice as much time as
George to complete a work. If working
together, they can complete it in 23
hours, then ?nd the time that Tom will
take to complete the work.
SSC CPO 05/10/2023 (2nd Shift)
(a) 39 hours (b) 46 hours
(c) 69 hours (d) 11 hours
Q.61. A can do a certain piece of work in
2.4 times the number of days in which B
and C together can do it. If A and B
together can do the said piece of work in
27 days and C alone can do it in 75 days,
then how many days will B take to do this
piece of work alone?
SSC CPO 05/10/2023 (2nd Shift)
(a) 42 (b) 54 (c) 48 (d) 45
Q.62. If Arun can complete rd of a
2
3
work in 12 days, then in how many days
can he complete th of the same work?
1
6
SSC CPO 05/10/2023 (3rd Shift)
(a) 4 (b) 5 (c) 2 (d) 3
Q.63. A, B and C can do a piece of work
in 11 days, 20 days and 55 days
respectively. How soon can the work be
done if A works with B on ?rst day, A
works with C on second day and so on ?
SSC CPO 05/10/2023 (3rd Shift)
(a) 9 days (b) 9 days
1
2
(c) 8 days (d) 8 days
1
2
SSC MTS 2023 Tier - 1
Q.64. A, B and C can do a piece of work
in 10, 15, 12 days, respectively. A and B
worked alternately for 5 days each and
left. Then C joined and completed the
work. In how many days did C complete
the remaining work ?
SSC MTS 01/09/2023 (1st Shift)
(a) 3 (b) 1 (c) 4 (d) 2
Q.65. Ram can do a piece of work in 18
hours. Shyam and Naresh can do it in 9
hours. Ram and Naresh can do it in 12
hours. How long will Shyam alone take to
do it?
SSC MTS 01/09/2023 (2nd Shift)
(a) 15 hours (b) 9 hours
(c) 12 hours (d) 11 hours
Q.66. A and B can do a piece of work in 9
and 18 days, respectively. They started
working together. After some days A left
the work and B ?nished the remaining
work in 15 days. After how many days
did A leave?
SSC MTS 01/09/2023 (3rd Shift)
(a) 1 (b) 2 (c) 4 (d) 3
Q.67. Juli and Rahul can simultaneously
?nish the work of painting a room in 12
days. If Juli alone can paint the room in
20 days, in how many days can Rahul
alone complete the same work of
painting the room?
SSC MTS 04/09/2023 (1st Shift)
(a) 30 (b) 25 (c) 40 (d) 35
Q.68. 20 men can complete a piece of
work in 40 days, and 40 women can do
the same work in 60 days. If 10 men and
20 women work together, then in how
many days will the work be completed?
SSC MTS 04/09/2023 (2nd Shift)
(a) 60 (b) 50 (c) 48 (d) 40
Q.69. A, B and C can complete a work in
10, 15 and 20 days, respectively. They
work on alternate days such that 1
st
day
A, 2
nd
day B and 3
rd
day C. Again 4
th
day A,
5
th
day B and so on. If they work in the
same way, in how many days will the
work be completed?
SSC MTS 04/09/2023 (2nd Shift)
(a) 13 (b) 15 (c) 14 (d) 13
1
4
1
2
Q.70. If P can ?nish a job in 3 hours and
Q can ?nish the same job in 6 hours
independently, then they together will
?nish the job in minutes. Find the value ??
of . ??
SSC MTS 04/09/2023 (3rd Shift)
(a) 160 (b) 100 (c) 150 (d) 120
Q.71. A man can ?nish a work in 12 days
and a woman can ?nish the same in 10
days. 2 men and 3 women work on
alternate days and men start the ?rst
day. The work will be ?nished in
___________ days.
SSC MTS 04/09/2023 (3rd Shift)
(a) (b) (c) (d)
22
3
24
5
22
5
21
5
Q.72. Akash is thrice as good a workman
as Arvind and therefore is able to ?nish a
job in 30 days less than Arvind. If they
work together, in how many days can
they ?nish the job?
SSC MTS 05/09/2023 (1st Shift)
(a) 11 (b) 11 (c) 12 (d) 12
1
4
3
4
3
4
1
4
Q.73. Tushar, Megha, Punam and Richa
can complete a piece of work in 10 days,
12 days, 15 days and 18 days,
respectively. In how many days will the
work be completed if each of them work
on alternate days starting with Megha on
?rst day, Punam on second day, Richa on
third day, Tushar on fourth day and then
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SSC CGL Previous Year Questions (2023-18): Work and Time Notes
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SSC CGL Previous Year Questions (2023-18): Work and Time SSC CGL
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The content of SSC CGL Previous Year Questions (2023-18): Work and Time is prepared as per the latest SSC CGL syllabus.
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