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Pipes and cistern

Total questions: 20

Worksheet time: 16mins

Name
Class
Date
1.

In 1 minute 3/7 of a basin is filled. Whatever remains of the container can be filled in:

a)

2 min

b)

4/3 min

c)

7/3 min

d)

none of these

2.

A pump can fill a tank with water in 2 hours. In light of a break in the tank, it takes 7/3 hours to fill the tank. The hole can discharge the filled tank in:

a)

7/3 hrs

b)

7 hrs

c)

8 hrs

d)

14 hrs

3.

A funnel can discharge a tank in 40 minutes. A second pipe with distance across twice as much as that of the first is likewise joined with the tank to purge it. The two together can exhaust the tank in:

a)

8 min

b)

30 min

c)

38 min

d)

40/3 min

4.

Two funnels can fill a reservoir in 14hrs and 16 hrs. individually. The funnels are opened all the while and it is found that because of spillage in the last, 32 minutes additional are taken for the reservoir to be topped off. In the event that the storage is full, in what time would the release unfilled it?

a)

96 hrs

b)

102 hrs

c)

106 hrs

d)

112 hrs

5.

A reservoir has three channels A, B and C. A and B can fill it in 3 hrs and 4 hrs. individually while C can exhaust the totally filled reservoir in 1 hours. On the off chance that the funnels are opened all together at 3 pm, 4 pm and 5 pm individually, at what the truth will surface eventually reservoir void?

a)

6.15 pm

b)

7.12 pm

c)

8.12 pm

d)

8.35

6.

substantial tanker can be filled by two pipes A and B in an hour and 40 minutes separately. How long will it take to fill the tanker from unfilled state if B is utilized for a fraction of the time and A and B fill it together for the other half?

a)

15 min

b)

20 min

c)

27.5 min

d)

30 min

7.

A storage has a hole which would exhaust it in 8 hours. A tap is transformed on which concedes 6 liters a moment into the reservoir and it is currently purged in 12 hours. What number of liters does the reservoir hold?

a)

7580 ltr

b)

8640

c)

8290

d)

7960

8.

Pipes A and B can fill a tank in 10 hours each. A third pipe C empties the tank in 20 hours. If all the three pipes are opened simultaneously, in how much time will the tank be filled?

a)

6 hr 30 min

b)

6 hr 40 min

c)

6 hr 20 min

d)

4 hr 40 min

9.

Two pipes A and B can fill a water tank in 20 and 24 min respectively. A third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together fill the tank in 15 min, the capacity of the tank (in gallons) is:

a)

180

b)

150

c)

120

d)

60

10.

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for 1 hour each alternatively, the tank will be full in -

a)

5 hr

b)

7 hr

c)

6 hr

d)

7.5 hr

11.

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?

a)

5/11

b)

6/11

c)

7/11

d)

8/11

12.

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

a)

1 13/17

b)

2 8/11

c)

3 9/17

d)

4 1/2

13.

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:

a)

4 1/3 hours

b)

.7 hours

c)

.8 hours

d)

14 hours

14.

Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

a)

5 min

b)

9 min

c)

10 min

d)

15 min

15.

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:

a)

6 hrs

b)

10 hrs

c)

15 hrs

d)

30 hrs

16.

Two pipes can fill a tank in 10 and 14 minutes respectively and a waste pipe can empty 4 gallons per minute. If all the pipes working together can fill the tank in 6 minutes, what is the capacity of the tank?

a)

120 gallons

b)

240 gallons

c)

450 gallons

d)

840 gallons

17.

An electric pump can fill a tank in 4 hours. Due to leakage in the tank, it took 4(1/2) hrs to fill the tank. If the tank is full, how much time will the leak take to empty the full tank?

a)

8 hrs

b)

16 hrs

c)

21 hrs

d)

36 hrs

18.

Two pipes fills a cistern in 15 hrs and 20 hrs respectively. The pipes are opened simultaneously and it is observed that it took 26 min more to fill the cistern because of leakage at the bottom. If the cistern is full, then in what time will the leak empty it?

a)

35 hrs

b)

70 hrs

c)

180 hrs

d)

300 hrs

19.

If two pipes function simultaneously, the reservoir will be filled in 24 hrs. One pipe fills the reservoir 20 hours faster than the other. How many hours does it take for the second pipe to fill the reservoir?

a)

12 hrs

b)

30 hrs

c)

44 hrs

d)

60 hrs

20.

Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

a)

7

b)

13

c)

23

d)

19