R. Gupta Solutions for Chapter: Pipe and Cistern, Exercise 1: EXERCISE

Two pipes p and Q can fill a cistern in 12 and 15 minutes, respectively. Both are opened together, but at the end of 3 minutes, the first one is turned off. How much longer will it take for the cistern to fill?

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

A tap can fill a tank in 12 hours, whereas another can empty it in 18 hours. If both the taps are opened simultaneously, how much time will the tank take to fill?

Two taps can fill a tank in 2 hours and 3 hours respectively. If both of them are opened at the same time, the tank will be filled up in:

A tank can be filled separately by two taps A and B in 45 minutes and 36 minutes, respectively. A tap C at the bottom can empty the tank in 30 minutes. If tap C is opened 7 minutes after the two taps A and B are opened, find when the cistern will be full?

There is a leak in the bottom of a cistern. When the cistern had no leak, it used to get filled in $2\frac{1}{2}$ hours. It now takes half an hour longer for the cistern to be full. If the cistern is full of water, how long would it take in leaking itself empty, in case the water leaks out at double the rate after half the cistern becomes empty?

When the waste pipe is closed, two taps can separately fill a cistern in 10 and 12 minutes, respectively. When the waste pipe is open, they together fill it in 15 minutes. How long does it take the waste pipe to empty the cistern when the taps are closed?

Two pipes A and B can fill up a tank in 6 minutes and 7 minutes, respectively. If they are opened for one minute, alternately, beginning with A, in how much time will they fill up the tank?