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    Question

    Ravi, Sohan, and Mohan can complete a certain task

    individually in 18 days, 24 days, and 30 days, respectively. They all started working together, but after 6 days, Ravi and Mohan left, leaving Sohan to finish the remaining work alone. Determine the total number of days required to complete the entire task under these conditions.
    A 8.25 days Correct Answer Incorrect Answer
    B 12.50 days Correct Answer Incorrect Answer
    C 16.50 days Correct Answer Incorrect Answer
    D 11.2 days Correct Answer Incorrect Answer

    Solution

    ATQ,Let total work be 360 units. {LCM (18, 24, and 30)}Efficiency of ‘Ravi’ = (360/18) = 20 units/dayEfficiency of ‘Sohan’ = (360/24) = 15 units/dayEfficiency of ‘Mohan’ = (360/30) = 12 units/dayWork completed in 6 days = {(20 + 15 + 12) × 6} = 282 unitsWork remaining = 360 – 282 = 78 unitsSo, time taken by ‘Sohan’ alone to complete the remaining work = {(360 – 282)/15} = 5.2 daysTherefore, total time taken to complete the work = (6 + 5.2) = 11.2 days

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