Question:
A, B and C are three pipes attached to a cistern. A and B can fill it in 20 minutes and 30 minutes respectively, while C can empty it in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled?
A, B and C are three pipes attached to a cistern. A and B can fill it in 20 minutes and 30 minutes respectively, while C can empty it in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled?
Updated On: Jan 30, 2025
- 180 minutes
- 60 minutes
- 157 minutes
- 155 minutes
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The Correct Option is A
Solution and Explanation
Part filled by A, B and emptied by C in one minute \(=\frac{1}{20},\frac{1}{30}\) and \(\frac{1}{15}\)
Part filled by three pipes in 3 minutes \(=\frac{1}{20}+\frac{1}{30}-\frac{1}{15}\)
⇒ \(\frac{3+2-4}{60}=\frac{1}{6}\)
Cistern can be filled in 60 x 3 = 180 minutes.
Hence, option A is the correct answer.The correct option is (A): 180 minutes
Part filled by three pipes in 3 minutes \(=\frac{1}{20}+\frac{1}{30}-\frac{1}{15}\)
⇒ \(\frac{3+2-4}{60}=\frac{1}{6}\)
Cistern can be filled in 60 x 3 = 180 minutes.
Hence, option A is the correct answer.The correct option is (A): 180 minutes
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