Pipes & Cisterns — practice questions, page 6
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QuestionTwo pipes fill a tank in 9 hours and 12 hours. Both are opened, and after 3 hours the slower one…QuestionA tank has two outlets that empty it in 12 and 15 hours, and one inlet. With all three open, the…QuestionBhavna's hostel tank is filled by two pumps working at 1,200 and 800 litres per hour. The tank…QuestionStarting together on an empty tank, pipe P (fills it in 30 minutes) runs throughout, while pipe Q…QuestionThe time pipe A takes to fill a tank is two-thirds of the time pipe B takes. Together they fill it…QuestionThree pipes have flows in the ratio 1 : 2 : 3. The largest pipe alone fills a tank in 8 hours. How…QuestionA cistern is three-quarters full. Pipe A can fill the empty cistern in 12 minutes and pipe B can…QuestionA full 7,200-litre tank has an inlet bringing 60 litres per minute and two outlets each draining…QuestionPipe A can fill a tank in 10 hours and pipe B in 15 hours. Because of a leak, the two together…QuestionA tank can be filled by pipe A in 2 hours and by pipe B in 6 hours. At 10 a.m. A is opened on the…QuestionOnce a pipe has been open for 2 hours, its rate falls by one-third because of a clog. When clean…QuestionPipe A fills a tank in 15 hours, pipe B in 20 hours, and outlet C empties it in 12 hours. A and B…QuestionTwo pipes running together fill a tank in 6 minutes. If one pipe takes 5 minutes longer than the…QuestionPipes A, B and C fill a tank in 6, 10 and 15 hours. A is opened alone at first; after 1 hour B is…QuestionThree pumps feed a 6,300-litre tank at the rates shown in the figure. All three start together,…QuestionPipe A fills a tank in 20 hours and pipe B in 30 hours, while pipe C empties it in 40 hours. All…QuestionWhich is the cheapest way to fill an empty tank: pump A alone (fills it in 4 hours, power ₹ 60 per…QuestionA pipe normally fills a 1,200-litre tank in 20 minutes; because of a leak, it now takes 25% more…QuestionPipe A fills a tank in 8 hours and pipe B empties it in 12 hours. With the tank empty, A is opened…QuestionA cistern holds 2,000 litres. Its inlet supplies 25 litres per minute; a leak drains 5 litres per…QuestionThree pipes A, B, C together fill a tank in 4 hours. A and B together take 6 hours, and B and C…QuestionA pipe fills a tank in 6 hours. When the tank is full, the pipe is shut and a drain that empties…QuestionPipe A fills a tank in 3 hours. Pipe B, half as efficient as A, is opened 1 hour after A, and pipe…QuestionA tank with an inlet that fills it in 3 hours also has three outlets that empty it in 8, 12 and 24…QuestionPipes A, B and C can fill a tank in 30, 40 and 60 minutes. They are opened together on the empty…
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