One pipe fills a tank 3 hours faster than a second pipe, and together they fill it in 2 hours. If a leak that empties the full tank in 12 hours is also present, how long do the two pipes take together to fill it?

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Accepted Answer

2.4 h. 1/x+1/x+3=1/2 x^2-x-6=0 x=3; the pipes take 3 h and 6 h. With the leak: 1/2-1/12=5/12 → 2.4 h. (15/7 h adds the leak.)

One pipe fills a tank 3 hours faster than a second pipe, and together they fill it in 2 hours. If a leak that empties the full tank in 12 hours is also present, how long do the two pipes take together to fill it?

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