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- Subject
- Pipes and Cisternsmathematics-mcqs › pipes-and-cisterns
- Published
- 11 Jul 2019
- Last updated
- 28 May 2026
Explanation
Let the slower pipe fill the tank in x minutes. Then the faster pipe fills it in x/3 minutes. Their combined rate is 1/36 tanks per minute. The sum of their rates is 1/x + 3/x = 4/x = 1/36, so x = 144 minutes. Therefore, the slower pipe alone takes 144 minutes to fill the tank.
More Pipes and Cisterns MCQs
Practice related questions from the same subject.
- 1.Three taps A, B, and C can fill a tank in 12, 15, and 20 hours respectively. If tap A runs continuously while taps B and C operate alternately for one hour each, how long will it take to fill the tank completely?
- 2.A tank can be filled by one tap in 4 hours, while another tap can drain it in 9 hours. If both taps are opened at the same time, how long will it take to fill the tank completely?
- 3.A single tap can fill a tank in 6 hours. Once the tank is half full, three additional identical taps are opened. How long will it take to fill the tank entirely?
- 4.A large tanker can be filled by pipe A alone in 60 minutes and by pipe B alone in 40 minutes. If pipe B runs for half the total filling time and then both pipes A and B operate together for the remaining half, how long will it take to fill the tanker completely from empty?
- 5.A tank usually fills up in 8 hours, but due to a leak at the bottom, it takes 2 hours longer to fill completely. How long will it take for the leak alone to drain the full tank?
- 6.A tank can be filled by one tap in 2 hours, while another tap can drain the tank in 3 hours. If both taps are opened simultaneously, how long will it take to fill the tank?
- 7.One tap can fill a tank in 8 hours, while another tap can drain it in 16 hours. If both taps are operated at the same time, how long will it take to fill the tank?
- 8.Pipes A, B, and C together can fill a tank in 6 hours. After operating all three for 2 hours, pipe C is turned off, and pipes A and B finish filling the tank in 7 more hours. How long will pipe C take to fill the tank by itself?
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