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    Question

    G' can complete  (3/4) of a job in 24 days, while 'G'

    and 'H' together can complete the same job in 16 days. Find the time taken by 'H' to complete 25% of the job alone.
    A 12 days Correct Answer Incorrect Answer
    B 10 days Correct Answer Incorrect Answer
    C 8 days Correct Answer Incorrect Answer
    D 18 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by 'G' to complete the whole job alone = 24×( 4/3)=32 days Let the total amount of work = LCM of 32 and 16 = 96 units Efficiency of 'G' =96/32 = 3 units per day Efficiency of (G + H) = 96/16= 6 units per day Efficiency of 'H' = 6−3 = 3 units per day Desired time = (0.25 × 96/3) = 8 days

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