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Pipes & Cistern Questions and Answers

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111.

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

Answer: D

 

Part filled in 4 minutes = 4 1 + 1 = 7 .
15 20 15

 

Remaining part = 1 - 7 = 8 .
15 15

 

Part filled by B in 1 minute = 1
20

 

1 : 8 :: 1 : x
20 15

 

x = 8 x 1 x 20 = 10 2 min = 10 min. 40 sec.
15 3

 The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.

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112.

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Answer: C

Let the slower pipe alone fill the tank in x minutes.

 

Then, faster pipe will fill it in x minutes.
3

 

1 + 3 = 1
x x 36

 

4 = 1
x 36

 x = 144 min.

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113.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

Answer: D

 

Part filled by (A + B) in 1 minute = 1 + 1 = 1 .
60 40 24

Suppose the tank is filled in x minutes.

 

Then, x 1 + 1 = 1
2 24 40

 

x x 1 = 1
2 15

 x = 30 min.

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114.

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

Answer: B

Time taken by one tap to fill half of the tank = 3 hrs.

 

Part filled by the four taps in 1 hour = 4 x 1 = 2 .
6 3

 

Remaining part = 1 - 1 = 1 .
2 2

 

2 : 1 :: 1 : x
3 2

 

 x = 1 x 1 x 3 = 3 hours i.e., 45 mins.
2 2 4

So, total time taken = 3 hrs. 45 mins.

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