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

Question : 1

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 : 2

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 : 3

A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled ?

a) 120

b) 108

c) 72

d) 84

Question : 4

A tank is fitted with two taps. The first tap can fill the tank completely in 45 minutes and the second tap can empty the full tank in one hour. If both the taps are opened alternately for one minute, then in how many hours the empty tank will be filled completely ?

a) 5 hours 53 minutes

b) 4 hours 48 minutes

c) 2 hours 55 minutes

d) 3 hours 40 minutes

Question : 5

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 : 6

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