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Pipe A fills tank in 6 hours. Pipe B fills in 8 hours. Both opened together; B turned off after 2.5 hours. How long to fill the tank?

1. 9/2 hours
2. 13/8 hours
3. 19/3 hours
4. 33/8 hours

Correct answer: 33/8 hours

Solution

A's rate=1/6, B's rate=1/8. Together=7/24 per hour. In 2.5h: 35/48 filled. Remaining=13/48. A alone: (13/48)÷(1/6)=13/8 hours. Total=2.5+13/8=20/8+13/8=33/8 hours.

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