Two pipes together fill a tank in 12 hours. If pipe A worked at double its speed and pipe B at half its speed, they would take 15 hours. How long does A take on its own at its normal speed?

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Accepted Answer

60 h. Let rates be x, y: x+y=1/12, 2x+y/2=1/15 4x+y=2/15. Subtract: 3x=2/15-1/12=1/20, x=1/60 → 60 h. (15 h is B.)

Two pipes together fill a tank in 12 hours. If pipe A worked at double its speed and pipe B at half its speed, they would take 15 hours. How long does A take on its own at its normal speed?

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