CET Pipes and Cisterns Questions with Solutions – Page 4

Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will it take C alone to fill the tank ?

A full tank with a steady inflow of water lasts 50 days if 32000 gallons are used daily, and lasts 40 days if 37000 gallons are used daily. How much water can be used daily so that the supply never fails?

A tank has an inlet pipe and an outlet pipe.

• Inlet fills tank in 8 hrs (if outlet is closed)
• Together: inlet and outlet fill in 10 hrs
• Only outlet open, how long to empty half tank?

A drain pipe can empty a tank in 12 hours, and a fill pipe can fill it in 6 hours. There are n pipes including some fill pipes and some drain pipes, and together they fill the tank in exactly 2 hours. How many of the following values could n have in this case?
24, 16, 33, 13, 9, 8

A town is supplied with water from a big overhead tank which is fed with a constant volume of water regularly. When the tank is full, if 32000 gallons are used daily, the supply fails in 50 days. However, if 37000 gallons are used daily, the supply lasts for 40 days only. How much water can be used daily without the supply ever failing?