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Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - SSC CGL MCQ


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30 Questions MCQ Test - Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2

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Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 1

Five men can complete work in 20 days. Ten women can complete the same work in 15 days. Two men and six women started working together. After 5 days, three women left the work and a new man joined the work. The group continued working together till the end of the work. In how many days will they be able to do the remaining work?  [SSC CGL 18/08/2021 (Evening)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 1

Efficiency of Men = M
Efficiency of Women = W
5M × 20 = 10W × 15 ⇒ M/W = 3/2
Total work = 5 × 3 × 20 = 300
Work completed in 5 days
= (2M + 6W) × 5 = 90
Remaining work = 300 - 90 = 210
Work in one day = 3M + 3W = 15
Number of days = 210/15 = 14

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 2

A can do a piece of work in 2 days, and B can do five times the same work in 15 days when they work for ten hours a day. If they work together, then how many hours in addition to a days’ work will they require to complete the work?  [SSC CGL 20/08/2021 (Evening)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 2

B can do ve times of the work in 15 days
B can complete the work in 3 days 

work done by A and B = 5 units
Remaining work = 6 - 5 = 1 unit
Number of hours in addition to a days
= 1/5 x 10 = 2 hours

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Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 3

A can complete a work in  days. B is 25% more efficient than A and C is 50% efficient than B. Working A, B and C will complete the same work.  [SSC CGL 24/08/2021 (Morning)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 3

25% = 1/4
A : B = 4 : 5
B : C = 2 : 1

Total work = 8 × 11.5 = 92
Time taken by A, B and C =  
= 4 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 4

A can do a piece of work in 15 days, B is 25% more efficient than A and C is 40% more efficient than B. A and C work together for 3 days and then C leaves A and B together will complete the remaining work in:  [SSC CGL Tier II (15/11/2020)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 4

Efficiency of A : B = 4 : 5
Efficiency of B : C = 5 : 7
Efficiency of A : B : C = 4 : 5 : 7
If A can do work in 15 days then total
work = 15 × 4 = 60
One day work of A and C = 4 + 7 =11
3 day work of A and C = 33
Work left = 60 - 33 = 27
One day work of A and B = 4 + 5 = 9
Time required = 27/9 = 3 days
 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 5

A can do 20% of the work in 4 days, B can do 33 % of the same work 1 3 in 10 days. They worked together for 9 days. C completed the remaining work in 6 days. B and C together will complete 75% of the work in: [SSC CGL Tier II (15/11/2020)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 5

A can do complete work in
= 100/20 x 4 = 20 days
B can do complete work in =  = 30 days

9 day work of A and B = 9 × (2 + 3)
= 45 units
Remaining work = 60 - 45 = 15
Eciency of C = 15/6 = 2.5
75% of work = 45 units
One day work of B and C = 2 + 2.5 = 4.5
B and C can complete the work in = 45/4.5
= 10 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 6

A can do 1/3 of work in 30 days, B can do 2/5 of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the work in:  [SSC CGL Tier II (16/11/2020)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 6

A can do complete work in = 90 days
B can do complete work in = 60 days
Work done by A and B in 20 days = 20 × 5 = 100 units
Remaining work = 180 - 100 = 80 units
Efficiency of C = 80/8 = 10
They can complete the work in

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 7

A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work is:  [SSC CGL 03/03/2020 (Morning)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 7

Work done by B and C in 3 days is
(18 × 3) = 54 units
Work remaining = 120 - 54 = 66 units
A will do 66 units work in 66/5 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 8

A and B, working together can complete a work in d days. Working alone, A takes (8 + d) days and B takes (18 + d) days to complete the same work. A works for 4 days. The remaining work is completed by B alone, in:  [SSC CGL 04/03/2020 (Afternoon)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 8

Working together A and B takes ‘d’ days.
Working alone, A takes ‘8 + d’ days
And B takes ‘18 + d’ days.
As per concept number of days taken by
A and B together is =  
Now, working alone A takes ‘20 days’ and B takes ‘30 days’.

Work done by A in 4 days = 12 units
B completed the remaining work in =  = 24 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 9

Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will 20 women finish the same work?  [SSC CGL 05/03/2020 (Evening)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 9

Let efficiency of a man = ‘m’ and efficiency of a woman = ‘w’
Sixteen men can finish the work in 8 days, thus, total work = 16 × 8 × m
8 men and 9 women can finish work in10 days, implies, total work
= 10 × (8 × m + 9 × w)
⇒ 16 × 8 × m = 10 × (8 × m + 9 × w)
⇒ 48 × m = 90 × w ⇒ m : w = 15 : 8
Time taken by 20 women to complete the work =  = 12 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 10

The ratio of the efficiencies of A, B and C is 2 : 5 : 3. Working together, they can complete a work in 27 days. B and C together can complete  part of that work in:  [SSC CGL 04/06/2019 (Morning)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 10

Let the efficiency of A, B and C are 2 unit, 5 unit and 3 unit respectively.
Total work = 27 × (2 + 5 + 3) = 270 unit
Time taken by A to do  part of the work =  = 15 days 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 11

The efficiencies of A , B and C are in the ratio of 2 : 3 : 5. Working together, they can complete a task in 6 days. In how many days will A alone complete 20% of the task?  [SSC CGL 12/06/2019 (Afternoon)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 11

Let the efficiency of A, B and C are 2 unit, 3 unit and 5 unit respectively.
Total work = 6(2 + 3 + 5) = 60 unit
20% of work = 60 × 20/100 = 12 unit
Time taken by A = 12/2 = 6 days

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 12

An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely-filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets completely filled in 105 hours. Find the value of y.  [SSC CGL 14/07/2023 (3rd shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 12


According to the question,

y = 3 outlet pipe connected.

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 13

There are three taps of diameter 2 cm, 3 cm and 4 cm, respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill an empty tank alone in 81 min. If all the taps are opened simultaneously, then how long will the tank take (in min) to be filled?  [SSC CGL Tier II (02/03/2023)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 13

According to question ,
Efficiency of three taps α square of the diameter of the pipe
Ratio of efficiency
= (2)2 : (3)2 : (4)2
= 4 : 9 : 19 

Total time taken by all three tap together

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 14

There are two water taps in a tank which can fill the empty tank in 12 hours and 18 hours respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in 36 hours. If both the water taps are opened at the same time to fill the empty tank and the leakage point was repaired after 1 hour, then in how much time the empty tank will be completely filled? [SSC CGL 17/08/2021 (Afternoon)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 14


Water filled by Tap 1, 2 and leakage in 1 hour = (3 + 2 – 1) = 4 unit
Remaining water to filled = 36 – 4 = 32 unit
Time taken to fill remaining tank = 32/5 = = 6 hours 24 min
total Time taken to fill tank = 6 hr. 24 min + 1 hr. = 7 hr. 24 min

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 15

Pipe A and B fill a tank in 43.2 minutes and 108 minutes, respectively, Pipe C can empty it at 3 litres per minute. When all the three pipes are opened together, they will fill the tank in 54 minutes. The capacity (in litres) of the tank is:  [SSC CGL Tier II (15/11/2020)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 15


Efficiency of C = 10 + 4 - 8 = 6 units
Time taken by C to empty the tank 
= 432/6 = 72min
Capacity of the tank = 72 × 3 = 216 liter

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 16

Pipes A and B are filling pipes while C is an emptying pipe. A and B can fill a tank in 72 and 90 minutes respectively. When all the three pipes are opened together, the tank gets filled in 2 hours. A and B are opened together for 12 minutes, then closed and C is opened. The tank will be empty (in min) after:   [SSC CGL TIER II (13/09/2019)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 16


Efficiency of pipe C = 3 – 5 - 4 = - 6 unit
Note : Negative sign indicates that it
is an outlet pipe.
Quantity filled by pipe A and B in
12 minutes = 12 × (5 + 4) = 108 unit
Time taken by pipe C to drain it = 108/6 = 18 min.

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 17

Pipes A and B can ll a tank in 16 hours and 24 hours, respectively, and pipe C alone can empty the full tank in x hours. All the pipes were opened together at 10.30 a.m., but C was closed at 2:30 p.m. If the tank was full at 8:30 p.m. on the same day, then what is the value of x?  [SSC CGL TIER II (12/09/2019)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 17


Quantity filled by pipe A and B (from 10:30 a.m. to 8:30 pm) = 10 × (3 + 2) = 50 unit
Quantity drained by pipe C (from 10:30 a.m. to 2:30 pm) = 50 – 48 = 2 unit
Efficiency of pipe (C) = 2/4= 1/2 unit 
Time taken by pipe C to drain the tank = 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 18

Pipes A, B and C can fill a tank in 30h, 40 h and 60 h respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 10 a.m., respectively on the same day. When will the tank be full? (in p.m.)  [SSC CGL TIER II (11/09/2019)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 18


Quantity filled by pipe A till 10:00 AM = 4 × 3 = 12 unit
Quantity filled by pipe B till 10:00 AM = 3 × 2 = 6 unit
Remaining quantity = 120 – 12 – 6 = 102 unit
Time taken to fill this quantity

= Tank will be filled at 10:00 AM +
= 9:20 PM

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 19

Pipes A and B can fill a tank in one hour and two hours respectively while pipe C can empty the filled up tank in one hour and fifteen minutes. A and C are turned on together at 9 a.m. After 2 hours, only A is closed and B is turned on. When will the tank be emptied?  [SSC CGL 06/06/2019 (Morning)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 19


Tank filled in 2 hours (at 11am) = 2 {10 + (– 8)} = 4 units.
Time taken to empty it = 4/3 = 1 hour 20 min
Required time = 11 am + 1 hour 20 min = 12:20 pm

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 20

An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled?  [SSC CGL 20/07/2023 (1st shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 20


Efficiency of 8 inlet and 3 outlet pipes
= (9 × 8) + (-20 × 3) = 12 units
Required time 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 21

An inlet pipe can fill an empty tank in  hours while an outlet pipe drains a completely filled tank in  hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with the inlet pipe. In how many hours will the tank be completely filled?  [SSC CGL 21/07/2023 (2nd shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 21


Since pipes are open alternatively starting with Inlet pipe
Tank filled in 2 hours = 8 + (- 5) = 3 unit
Tank filled in 20 hours = 30 unit
Time taken to fill Remaining water by inlet pipe = 36 - 30/8 = 6/8 = 3/4 hours
Total time taken  hours

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 22

A pipe can fill a tank in 30 hours. Due to a leakage at the bottom, it is filled in 50 hours. How much time (in hrs) will the leakage take to empty the completely filled tank?  [SSC CGL 24/07/2023 (2nd shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 22


Eciency of leakage = 5 − 3 = 2 units
Time taken by the leakage to empty the filled tank = 150/2 = 75 hours

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 23

Pipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively,_________.  [SSC CGL 26/07/2023 (2nd shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 23

Time taken by A and B together = 
According to the question,

x2 − 7x − 30 = 0 ⇒ x = 10 or − 3
Time can’t be -ve , so x = 10 min.
Required time = 10 min and 15 min.

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 24

There are two inlets A and B connected to a tank. A and B can fill the tank in 32 h and 28 h, respectively. If both the pipes are opened alternately for 1 h, starting with A, then in how much time (in hours, to nearest integer) will the tank be filled?  [SSC CGL Tier II (03/03/2023)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 24


A and B pipes are opened alternately for 1 h Work done in 2 hour = 7 + 8 = 15 units
Similarly, work done in 29 hour
= (15 × 14) + 7 = 217 units
In the 30th hour , work will be completed.

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 25

There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.  [SSC CGL 05/12/2022 (4th Shift)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 25


Total efficiency = 19 units
Tank filled by tap C in 2 hrs = 8 units
Tank filled by tap B in 4 hrs = 20 units
Remaining tank lled by tap A
= 100 - (20 + 8) = 72 units
Now, percentage of work done by tap A

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 26

A tap can fill a tank in  hours. Because of a leak, it took  hours to fill the tank. In how much time (in hours) will the leak alone empty 30% of the tank  [SSC CGL Tier II (29/01/2022)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 26


Efficiency of leak = 6 – 4 = 2 unit
Time taken by leak to empty 30% of the tank =

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 27

Two pipes A and B can fill a cistern in  hours and 25 hours, respectively The pipes were opened simultaneously, and it was found that, due to leakage in the bottom, it took 1 hour 40 minutes more to fill the cistern. If the cistern is full, in how much time (in hours) will the leak alone empty 70% of the cistern? [SSC CGL Tier II (29/01/2022)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 27


Time taken by A and B together to fill cistern = 25/1+ 2 = 8 hours & 20 minutes 25
Time taken with leakage C
= 8 h 20 m + 1 h 40 m = 10 h
Tank filled by A and B together in 10 h
= 30 unit
Efficiency of pipe C in 10 hour
= 30 - 25 = 5 unit
Efficiency of pipe C in 1 hour = 5/10 unit
Time taken by pipe C (leakage) to empty 70% of cistern = 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 28

Pipes A, B and C can fill a tank in 20, 30 and 60 hours, respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 9 a.m., respectively, on the same day. When will the tank be full?  [SSC CGL Tier II (03/02/2022)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 28


Tank filled by A alone till 9 am
= 2 × 3 = 6 units
Tank filled by B alone till 9 am
= 1 × 2 = 2 units
Total tank filled 9 am
= 6 + 2 = 8 units
Remaining tank to be filled
= 60 – 8 = 52 units
Time taken by A, B and C together
So, the tank will be full at
= 9 am + 8 hrs 40 minutes = 5:40 p.m.

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 29

Two pipes A and B can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternatively for 1 hour each, opening Pipe B first. In how many hours, will the empty tank be filled?  [SSC CGL 20/08/2021 (Afternoon)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 29


Amount of water filled by A and B in 2 hours = 13 unit
Amount of water filled A and B in 12 hours = 13 × 6 = 78 unit
Amount of water left = 80 – 78 = 2 unit
Time taken by pipe B to fill 2 unit = 2/5
Total time 

Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 30

A tank is filled in 4 hours by three pipes A, B and C. The pipe C is  times as fast as B and B is 3 times as fast as A. How many hours will pipe A alone take to fill the tank? [SSC CGL 24/8/2021 (Evening)]

Detailed Solution for Test: SSC CGL Previous Year Questions: Time and Work(Pipe & Cisterns)(2023-18) - 2 - Question 30


Total efficiency = 17 unit
Total quantity = 4 × 17 = 68 unit
Time taken by A = 68/2 = 34 hr

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