if 3 taps are opened together a tank is filled in 3 hours.One of the tap above can fill it in 10 hours and another in 15 hours.in how many hours will the third tap fill it
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Answer:
6 hours
Step-by-step explanation:
Time taken by three taps to fill a tank = 3 hours
Work done by three taps in 1 hour = 1/3
Work done by one tap in 1 hour = 1/10
Work done by second tap in 1 hour = 1/15
Work done by both taps in 1 hour = 1/10 + 1/15 = 5/30 = 1/6
Work done by third tap in 1 hour = 1/3 - 1/6 = 1/6
Hence, the third tap will fill the tank alone in 6 hours.
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