Pipes & Cisterns — practice questions, page 3
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Two pipes fill a 900-litre tank in 15 and 30 minutes respectively. When both fill the empty tank…Three taps A, B and C can fill a tank in 6, 8 and 12 hours. A and B are opened together, and C…Pipes A and B can fill a tank in 30 and 40 minutes, while outlet C empties it in 24 minutes. A and…Ten identical taps fill a tank in 36 minutes. After 12 minutes, four of the taps are closed. How…Water flows into a 6,000-litre tank at 120 litres per minute. Once the tank is half full, an…Pipes A and B fill a tank in 36 and 45 minutes. Both are opened together. After how many minutes…One pipe fills a tank 10 hours faster than another. Together they fill it in 12 hours. How long…A tank has an inlet that fills it in 8 hours. When the tank was one-quarter full, a leak started,…A cistern has two inlets that fill it in 15 and 20 minutes, and an outlet. With all three open,…Pipe A can fill a pool in 9 hours. Pipe B is 50% more efficient than A, and pipe C is half as…A tank has pipes A and B that fill it in 12 and 15 hours and a drain C. A and B are opened…Taps A and B can fill a tank in 12 and 18 hours. They are opened alternately for an hour each,…In the figure, A and B are opened on the empty tank at 6 a.m., and outlet C is opened at 8 a.m. At…A pipe of radius 1 cm fills a tank in 50 minutes. How long would a pipe of radius 2.5 cm take, if…Pipes A and B fill a tank in 10 hours, B and C in 15 hours, and A and C in 12 hours. How long…Pipes A and B fill a tank in 45 and 60 minutes. They are opened together, but A is closed before…Two inlets fill a tank in 20 and 30 hours. Someone opens both but, by mistake, also opens the…Pipe A fills a tank in 20 minutes, pipe B in 30 minutes, and pipe C empties it in 15 minutes. They…Pipes A, B and C together fill a tank in 8 hours. All three are opened, but after 2 hours C is…Tap A fills a tank in 6 hours and tap B in 4 hours. A is opened at 9 a.m., B at 10 a.m., and a…An inlet fills a tank in 6 hours. A hole one-quarter of the way up the side drains water at a…Pipes A and B together usually fill a tank in 6 hours, A alone taking 10 hours. One day, because…A leak in the bottom of a tank can empty the full tank in 7 hours. A tap bringing in 6 litres per…Inlets A and B fill a tank in 20 and 24 minutes, and outlet C empties it in 30 minutes. All three…A 9,000-litre tank is filled by pumps P and Q delivering 150 and 100 litres per minute. P is…
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