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QUESTION: 1

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?

Solution:

To calculate the answer we need to get 1 man per day work and 1 woman per day work.

Let 1 man 1 day work =x

and 1 woman 1 days work = y.

=> 6x+5y = 1/6

and 3x+4y = 1/10

On solving, we get x = 1/54 and y = 1/90

(9 men + 15 women)'s 1 days work =

(9/54) + (15/90) = 1/3

9 men and 15 women will finish the work in 3 days

QUESTION: 2

A works twice as fast as B. if both of them can together finish a work in 12 days, B alone can do it in.

Solution:
Let time taken by b to do the work=2t

:a= t

1 day work of a and b = 1/2t+1/t=1+2/2t

=3/2t_(1)

1day work of a and b =1/12_(2)

1/12=3/2t

t=18

b can do that work alone =18×2=36

:a= t

1 day work of a and b = 1/2t+1/t=1+2/2t

=3/2t_(1)

1day work of a and b =1/12_(2)

1/12=3/2t

t=18

b can do that work alone =18×2=36

QUESTION: 3

A alone can complete a work in 12 days, while A and B together can complete the same work in 8 days. The number of days that B will take to complete the work alone is

Solution:

QUESTION: 4

A work could be completed in 100 days. Due to the absence of 10 workers it was completed in 110 days. The original number of workers was

Solution:

QUESTION: 5

A can do a job in 15 days B in 10 days and C in 30 days. If A is helped by B and C on every third day, the job will be completed in

Solution:

QUESTION: 6

Certain number of men can complete a job in 30 days. If there were 5 more men, it could be completed in 10 days less. How many men were there in the beginning?

Solution:

QUESTION: 7

A man is paid Rs. 20 for each day he works and loses Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for

Solution:

Suppose the worker remained idle for x days . Then , he worked for (60−x) days.

∴ 20(60−x)−3x=280

⇔ 1200-23x=280

⇔ 23x=920

⇔ x=40

QUESTION: 8

A takes double as much time as B or thrice as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B alone can do the workin -

Solution:

QUESTION: 9

4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.

Solution:

QUESTION: 10

72 men can build a wall 280 m long in 21 days. How many men will take 18 days to build a similar type of a wall of length 100 m.

Solution:

QUESTION: 11

Prem and Sham can do a job together in 7 days. Sham is 1¾ times more efficient than Prem. Same job can be done by sham alone in

Solution:

QUESTION: 12

If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it.

Solution:

3 men or 4 women can plough the field in 43 days.

3 men = 4 women.

1 man = 4/3 women.

7 man = 28/3 women.

7 men and 5 women = 5 + (28/3) = 43/3 women.

4 women can plough the field in 43 days.

So,

1 woman can plough in = 43 *4 days.

Hence,

43/3 women can plough = (43*4 *3) /43 = 12 days.

QUESTION: 13

8 men can do a work in 12 days. After 6 days of work four more men were employed. In how many days would the remaining work be done.

Solution:

QUESTION: 14

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but left after 3 days. The remaining work will be done by A in

Solution:

QUESTION: 15

A can do a work in the same time as B and C together can do it. If A and B together can do it in 10 days and C alone in 50 days, then B alone can do the work in

Solution:

QUESTION: 16

A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. A alone can do the work in

Solution:

QUESTION: 17

If 12 men and 16 boys can do a piece work in 5 days, 13 men and 24 boys can do it in four days then the ratio of the work done daily by a man and a boy is?

Solution:

QUESTION: 18

A and B can weave a carpet in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work.

Solution:

QUESTION: 19

Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.

Solution:

QUESTION: 20

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

Solution:

Suppose A, B and C take days respectively to finish work.

So, B takes (12/2) = 6 days to finish the work.

### Time and Work (Part - 1)

Video | 10:06 min

### Time and work question

Doc | 1 Page

### Time And Work

Doc | 7 Pages

### Basics of Time & Work

Video | 09:01 min

- Time And Work - MCQ 1
Test | 20 questions | 40 min

- Time And Work MCQ 1
Test | 20 questions | 30 min

- Time And Work MCQ 2
Test | 20 questions | 30 min

- Time And Work - MCQ 4
Test | 20 questions | 15 min

- Time And Work - MCQ 3
Test | 20 questions | 15 min