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    Question

    Ravi can finish 50% of a job in 20 days, while Ramesh

    can finish 40% of the same job in 32 days. Both start working together, but Ravi leaves after some time. If the entire job is completed in 48 days, after how many days did Ravi leave?
    A 16 days Correct Answer Incorrect Answer
    B 26 days Correct Answer Incorrect Answer
    C 32 days Correct Answer Incorrect Answer
    D 49 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Time taken by Ravi to complete whole work = (20 ÷ 0.5) = 40 days
    Time taken by Ramesh to complete whole work = (32 ÷ 0.4) = 80 days Let the total work be 240 units (LCM of 40 and 80)
    Efficiency of Ravi = (240 ÷ 40) = 6 units/day
    Efficiency of Ramesh = (240 ÷ 80) = 3 units/day Let Ravi worked for 'n' days.
    (6 + 3) × n + 3 × (48 − n) = 240
    9n + 144 − 3n = 240
    6n = 96
    n = 16 Hence,  Ravi left after 16 days .

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