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Pipe X can fill a tank in 3 hours and pipe Y in 2 hours 30 minutes. If both run together, in how many minutes is the tank full?

Competition practicePipes & Cisterns

A165 min
B75 min
C90 min
D $81 \frac{9}{11}$ min

Step-by-Step Solution

In minutes:

\frac{1}{180} + \frac{1}{150} = \frac{5 + 6}{900} = \frac{11}{900}

→

\frac{900}{11} = 81 \frac{9}{11}

min. (165 min is the average.)

Answer: D)

81 \frac{9}{11}

min

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