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    Question

    'Sumit' can complete (3/8) of a job in 24 days, where as

    'Sumit' and 'Tarun' together can finish it in 16 days. Calculate the time 'Tarun' needs to complete 60% of the job alone.
    A 12.8 days Correct Answer Incorrect Answer
    B 10.2 days Correct Answer Incorrect Answer
    C 18.5 days Correct Answer Incorrect Answer
    D 19.6 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by 'Sumit' to complete the whole job alone = 24×( 8/3) = 64 days Let the total amount of work = LCM of 64 and 16 =  64 units Efficiency of 'Sumit' =64/64 = 1 units per day Efficiency of (Sumit + Tarun) = 64/16 = 4 units per day Efficiency of 'Tarun' = 4 − 1 = 3 units per day Desired time = (0.60 × 64/3) = 12.8 days

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