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Pipe and cisterns : 16.04.2024

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Question 1

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.

Question 2

There are 3 taps, A, B and C, in a tank. These can fill the tank in 10 h, 20 h and 25 h, respectively. At first, all three taps are opened simultaneously. After 2 h, tap C is closed and tap A and B keep running. After 4 h, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.

Question 3

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?

Question 4

P can fill a tank in 5 hours. Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. How much time will all the three take together to fill the same tank?

Question 5

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?

Question 6

Pipes A and B can fill a tank in 18 minutes and 30 minutes, respectively. Pipe C, attached to the tank, can drain off 125 litres of water per minute. If all the pipes are opened together, the tank is filled in 45 minutes. The capacity of the tank, in litres, is

Question 7

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?

Question 8

Pipes X and Y can fill a tank in 30 minutes and 45 minutes, respectively, whereas pipe Z can empty the full tank in 1 hour. Pipes X and Y are opened together for 10 minutes. Then, pipe X is closed, Z is opened instantly and Y continued to fill. The total time (from the beginning) taken to fill the tank is:

Question 9

Two taps A and B can fill a water tank working alone in 3 hours and 5 hours, respectively. If there is a leakage in the water tank, they together can fill the water tank in 2.5 hours. Find the time taken by the leakage to empty the tank fully filled with water.

Question 10

Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can fill it in 30 hours. If all the three pipes are opened together, then in how much time the tank will be filled up?
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