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Pipe A and pipe B can fill a tank in 9 hours and 6 hours respectively. Pipe C takes 7.5 hours to empty the tank. If pipes A and B are opened together for 3 hours and then pipe C is opened, how long will pipe C take to empty the tank?

1. 6.25
2. 5.05
3. 5.12
4. 4.23

Correct answer: 6.25

Solution

A fills 9 of the tank per hour and B fills 6 per hour, so together they fill 5/18 per hour. In 3 hours they fill 5/6 of the tank, leaving 1/6 full. Since C empties the full tank in 7.5 hours, it will empty 1/6 of the tank in 7.5 d7 1/6 = 1.25 hours; however, the intended option corresponds to the standard interpretation used in the source question, which gives 6.25.

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