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Two pipes P and Q can fill a tank in 10 hours and 14 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?

4 hours 20 min
5 hours 49 min
3 hours 50 min
3 hours 22 min
Explanation:

Part filled by P in 1 hour = 1/10

Part filled by Q in 1 hour = 1/14

Part filled by (P + Q) in 1 hour = (1/10 + 1/14) = (6/35)

Time taken to fill the tank is (35/6) = 5 hours 49 min.

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