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What is the correct answer?

4

Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it tooki 32 minutes more to fill the cistern.When the cistern is full, in what time will the leak empty it?

A. 100 hrs

B. 122 hrs

C. 177 hrs

D. 112 hrs

Correct Answer :

D. 112 hrs


      Work done by the two pipes in 1 hour =(1/14)+(1/16)=(15/112).


      Time taken by these pipes to fill the tank = (112/15) hrs = 7 hrs 28 min.


      Due to leakage, time taken = 7 hrs 28 min + 32 min = 8 hrs


      Work done by (two pipes + leak) in 1 hour = (1/8).


      Work done by the leak m 1 hour =(15/112)-(1/8)=(1/112).


      Leak will empty the full cistern in 112 hours.

Related Questions

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4

A cistern has two taps which fill it in 12 minutes and 15minutes respectively. There is also a waste pipe in the cistern. When all the 3 are opened , the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?

A. 10 min

B. 20 min

C. 40 min

D. 50 min

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4

Two pipes A and B can fill a tank in 36 bours and 46 bours respectively. If both the pipes are opened simultaneously, bow mucb time will be taken to fill the tank?

A. 18 hrs

B. 13 hrs

C. 20 hrs

D. 23 hrs

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4

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. after 7 min,C is also opened. In how much time, the tank is full?

A. 39 min

B. 40 min

C. 50 min

D. 45min

What is the correct answer?

4

Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it tooki 32 minutes more to fill the cistern.When the cistern is full, in what time will the leak empty it?

A. 100 hrs

B. 122 hrs

C. 177 hrs

D. 112 hrs

What is the correct answer?

4

An electric pump can fill a tank in 3 hours. Because of a leak in ,the tank it took 3(1/2) hours to fill the tank. If the tank is full, how much time will the leak take to empty it ?

A. 20 hrs

B. 23 hrs

C. 30 hrs

D. 21 hrs

What is the correct answer?

4

Two pipes can fill a tank in 10hours and 12 hours respectively while a third, pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled?

A. 7 hrs

B. 7 hrs 30 min

C. 5 hrs

D. 5 hrs 30 min