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Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?




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A can fill the tank in 20 minutes.
So in 1 minute, it can fill (1/20)th of the tank.
B can fill the tank in 30 minutes.
So in 1 minute, it can fill (1/30)th of the tank.

In 1 minute, both can fill = (1/20) + (1/30) = (3+2)/60 = 5/60 = 1/12

To fill completely, together they will take = 1/(1/12) = 12 minutes.
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