Pipes & Cisterns — practice questions, page 7
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QuestionA tank has two inlets A and B and an outlet C. A and B together fill it in 4 hours, A and C…QuestionPipes A and B fill a tank in 6 and 8 hours and are opened alternately for one hour each, A first.…QuestionOne pipe fills a tank 9 hours faster than another, and together they fill it in 6 hours. When a…QuestionA tank 6 m long, 4 m wide and 2.5 m deep is filled through a pipe of cross-section 20 cm², with…QuestionWater flows at 2 m/s through a pipe of internal radius 2 cm into a cylindrical tank of base radius…QuestionTwo pipes together fill a tank in 12 hours. If pipe A worked at double its speed and pipe B at…QuestionThe tank in the figure is one-quarter full. How long will the inlet take to fill it completely?QuestionTwo identical pumps together fill a pond in 7 hours. How long would one pump take alone?QuestionThree identical outlets drain a full tank in 10 hours. How long would five such outlets take?QuestionIn the figure, the inlet and outlet are opened together on the empty tank. How long does it take…QuestionA water tank is filled by a pump in 45 minutes, while its drain empties a full tank in 1 hour 30…QuestionAn outlet can empty a full tank in 18 minutes. An inlet, which works 50% faster than the outlet,…QuestionA sump fills in 3 hours through its inlet. When it is one-third full, a second, identical inlet is…QuestionA tank holding 1,000 litres has an inlet of 30 litres per minute and an outlet of 10 litres per…QuestionA tank has 5 inlets and 3 outlets, all of the same size, so each inlet would fill the tank in 10…QuestionA pipe can fill a tank in 8 hours. After it runs for 2 hours, a second pipe with twice its rate is…QuestionA tank holding 600 litres fills in 20 minutes through its inlet, but because of a leak it actually…QuestionTwo pipes fill a 3,000-litre tank in 10 and 15 hours, and the water board bills each pipe's water…QuestionAn inlet fills a tank in 5 hours. A leak that empties the full tank in 15 hours is noticed and…QuestionPipe A fills a tank in 20 hours, and pipe B is 25% more efficient than A. They work together for 4…QuestionThe rates of three pipes are in the ratio 2 : 3 : 5. Together they fill a tank in 6 hours. How…QuestionA tank is 40% full. When 300 litres are pumped out, it becomes 25% full. A pipe delivering 25…QuestionA full 4,320-litre cistern leaks empty in 6 hours. If a tap is opened at the same time, the full…QuestionTwo taps fill a tank in 20 and 30 minutes. They are run alternately, each for 2 minutes at a time,…QuestionInlets A and B fill a tank in 12 and 15 hours, and outlet C empties it in 20 hours. All three are…
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