Model 3 Opening both taps and leaks Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak ?

a) 100 hours

b) 90 hours

c) 70 hours

d) 80 hours

Question : 2

A cistern is normally filled in 8 hours but takes another 2 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in :

a) 40 hours

b) 25 hours

c) 16 hours

d) 20 hours

Question : 3

A pipe can fill a tank in 24 hrs. Due to a leakage in the bottom, it is filled in 36 hrs. If the tank is half full, how much time will the leak take to empty the tank?

a) 24 hrs

b) 36 hrs

c) 48 hrs

d) 72 hrs

Question : 4

Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

a) 4$2/3$

b) 3$1/4$

c) 4$1/2$

d) 3$1/2$

Question : 5

A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. Find the capacity of the tank.

a) 24 litres

b) 10 litres

c) 5760 litres

d) 96 litres

Question : 6

Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern ?

a) 4 hrs

b) 2$2/3$ hrs

c) 2 hrs

d) 3$1/3$ hrs