Model 3 Opening both taps and leaks Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CISF ASI 2010]

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 : 12

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternatively, the tank will be full in :

a) 7$1/2$ hours

b) 7 hours

c) 6 hours

d) 6$1/2$ hours

Question : 13 [SSC CGL Prelim 2007]

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 : 14 [SSC CGL Prelim 2004]

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 : 15 [SSC CGL Tier-II 2015]

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