Pipes & Cisterns — practice questions with answers
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Using the two inlet pipes in the figure together, how long will the empty tank take to fill?A pipe fills one-third of a tank in 4 minutes. How much longer will it take to fill the rest?Neha says: "Pipe A fills a tank in 4 h and pipe B in 6 h, so together they need 4+6/2=5 h." What…A tank normally fills in 5 hours, but because of a leak in the bottom it takes 6 hours. How long…An inlet fills a cistern in 20 minutes and an outlet empties it in 30 minutes. If both are opened…A 1,200-litre tank has an inlet that brings in 40 litres per minute and an outlet that drains 25…Pipes A and B together fill a tank in 12 minutes. A alone takes 20 minutes. How long would B alone…Pipe A fills a tank in 6 hours and pipe B in 9 hours. Which statement is true?Pipe A fills water twice as fast as pipe B. Together they fill a tank in 12 minutes. How long will…All three pipes in the figure are opened together on an empty tank. In how many hours will it be…Pipe A fills a tank in 20 minutes and pipe B in 30 minutes. Both are opened, and A is turned off…A cistern is half full. Pipe A can fill it in 10 minutes and pipe B can empty it in 8 minutes. If…Pipe A is 60% more efficient than pipe B. Together they fill a tank in 20 minutes. How long would…The figure shows a 2,400-litre tank. Inlets A and B and the outlet C are all opened on the empty…Pipe A fills a tank in 15 minutes and pipe B in 10 minutes. A runs alone for the first 5 minutes,…A tank is one-fourth full. Two pipes that can fill it in 15 minutes and 20 minutes are opened…Inlets A and B fill a tank in 30 and 45 minutes, and outlet C empties it in 36 minutes. All three…A pipe pours 20 litres per minute into an empty 600-litre tank. After 10 minutes a crack opens and…One inlet fills 40% of a tank in 2 hours; a second inlet fills 25% of it in 1.5 hours. Working…The swimming pool in the figure has three identical inlets and two identical outlets. If all five…An inlet can fill a tank in 9 hours. After 3 hours of filling, an outlet that empties the full…The efficiencies of pipes A, B and C are in the ratio 3 : 2 : 1. Together they fill a tank in 4…Opened alternately for one hour each, starting with A, pipes A (fills in 4 hours) and B (fills in…Pipes A and B fill a tank in 24 and 32 minutes. Both are opened together. After how many minutes…A pipe of diameter 2 cm fills a tank in 36 minutes. How long would a pipe of diameter 3 cm take,…
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