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Two pipes P and Q can fill a tank in 40 minutes and 30 minutes respectively. Both pipes are opened simultaneously and after 10 minutes pipe Q is close
Question

Two pipes P and Q can fill a tank in 40 minutes and 30 minutes respectively. Both pipes are opened simultaneously and after 10 minutes pipe Q is closed. In what time after this will the tank get filled up?

A.

16 minutes 40 seconds

B.

16 minutes

C.

15 minutes

D.

15 minutes 20 seconds

Correct option is A

L.C.M of 40 and 30 is =120
Total work = 120 units
Work done by P and Q in 10 min = (3 + 4) x 10 = 70 units
Remaining work = 120-70 = 50 units
Remaining work, P will complete in = 50/3 = 16 min 40 seconds

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