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    Question

    Ravi can finish a task in 18 days. If Ravi and Rohan

    work together, they can complete the task in 10 days. How many days would Rohan alone take to finish the work?
    A 37.5 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 22.5 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 90 units {LCM (18 and 10)}

    Efficiency of Ravi = (90/18) = 5 units/day

    Efficiency of Ravi and Rohan together = (90/10) = 9 units/day

    Efficiency of Rohan = 9 - 5 = 4 units/day

    Time required by Rohan to complete the work alone = (90/4) = 22.5 days

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