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    A can complete a task in 10 days. He worked for 4 days and then stopped. B completed the remaining work in 9 days. In how many days can A and B togeth
    Question

    A can complete a task in 10 days. He worked for 4 days and then stopped. B completed the remaining work in 9 days. In how many days can A and B together complete the task?

    A.

    6 days

    B.

    5 days 

    C.

    4 days

    D.

    7 days

    Correct option is A

    Let Total Work = 20 unit

    Work done by A in 10 days

    Efficiency of A = 2010=2unitperday\frac{20}{10}= 2 unit per day ​​

    Work done by A in 4 days = 2× 4 = 8 unit

    Reamining work = 20-8 = 12 unit

    It has to be completed by B in 9 days

    Efficiency of B = 129=43\frac{12}{9} = \frac{4}{3}

    Total time taken by both of them together to complete the whole work = 202+43=6 days\frac{20}{2 + \frac{4}{3}} = 6\, days​​

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