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

Question : 1

A tap takes 36 hours extra to fill a tank due to a leakage equivalent to half of its inflow. The inflow can fill the tank in how many hours ?

a) 18 hrs

b) 30 hrs

c) 36 hrs

d) 24 hrs

Question : 2

Two pipes A and B can fill a cistern in 37$1/2$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after :

a) 9 minutes

b) 5 minutes

c) 15 minutes

d) 10 minutes

Question : 3

A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in

a) 5$1/3$ hours

b) 6 hours

c) 5$1/2$ hours

d) 10 hours

Question : 4

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 : 5

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 : 6

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