(i) Sunil takes 5 days more than Anil to complete a certain work. 4 days after starting
the work, Anil left the work. The rem

(i) Sunil takes 5 days more than Anil to complete a certain work. 4 days after starting
the work, Anil left the work. The remaining work was done by Sunil in 5 days.
Find how many days each will take to complete the work.

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1 thought on “(i) Sunil takes 5 days more than Anil to complete a certain work. 4 days after starting<br />the work, Anil left the work. The rem”

  1. Let fraction of work completed by a man per day be x (so x<1)

    Given that 20*x*12=1 →(1)

    since 1 means complete work}

    Now ater 6 days 5 workers left.

    So work completed till 6th day = 1/2

    So work left = 1/2

    Let no of days needed to complete remaining work be Y

    So (20–5) * x * Y = 1/2 →(2)

    Here 20–5 is no of workers left

    And 1/2 is remaining work

    now divide (1) with (2)

    We get,

    (20*12)/(15*Y) =2

    => 240= 30*Y

    So Y= 8

    So with number of days took to complete entire work = 6(with 20 workers)+ 8(with 15 workers) = 14 days

    Hope it helped

    Thanks for reading:)

    Reply

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