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A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

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A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
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1 Answer

  1. 30mins

    Let the total time taken to fill the tank be x minutes.

    Then, work done by B in half hour + work done by (A+B) in half hour =1.

    (
    40
    1

    ×
    2
    x

    )+(
    60
    1

    +
    40
    1


    2
    x

    =1


    80
    x

    +
    48
    x

    =1


    240
    3x+5x

    =1

    ⇒8x=240

    ⇒x=30 min