# Two taps ‘A’ and ‘B’ can fill a water reservoir in 8 and 6 hours respectively. A third tap ‘C’ can empty the tank completely in 24 hours. How long would it take to fill the empty tank - Mathematics

MCQ

Two taps ‘A’ and ‘B’ can fill a water reservoir in 8 and 6 hours respectively. A third tap ‘C’ can empty the tank completely in 24 hours. How long would it take to fill the empty tank when all the taps are open?

• 4 hours

• 5 hours

• 6 hours

• 3 hours

#### Solution

4 hours

Explanation:

Tap A can fill in 8 hr, B in 6 hr, C can empty reservoir in 24 hr

All 3 can fill a reservoir in 1 hr

=1/8+1/6-1/24=(6+8-2)/48=12/48

All three can fill the whole reservoir in 48/12 i.e. 4 hr

Concept: Time, Distance and Speed(Entrance Exam)
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