15. A tank has three pipes, two of which can fill the
tank in 9 minutes and 12 minutes when opened
separately. The third pipe can alone empty the full
tank in 6 minutes. If all three pipes are opened
together, how many minutes will it take for an
empty tank to be filled?
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How much time a tank would take to be filled by 3 pipes?
So when all 3 pipes work together, total inflow of water into the cistern per minute is 2+(8/9)+(1/2)=61/18 liters. Time needed to fill 122 liters = 122/(61/18) = (122*18)/61 = 2*18 = 36 minutes.
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