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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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