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    Question

    ‘Elvish’ and ‘Farhan’ alone can finish a work in

    25 and 50 days, respectively, while ‘Gaurav’ can complete 20% of the job in 10 days. All three start together, but after 7 days, ‘Elvish’ and ‘Farhan’ leave. How long will the total work take?
    A 15 days Correct Answer Incorrect Answer
    B 13 days Correct Answer Incorrect Answer
    C 29 days Correct Answer Incorrect Answer
    D 31 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Gaurav’s full work calculation: (10/0.20) = 50 days.

    Total work = LCM (25, 50, 50) = 100 units.

    Work per day:

    Efficiency of Elvish = 100/25 = 4 units/day

    Efficiency of Farhan = 100/50 = 2 units/day

    Efficiency of Gaurav = 100/50 = 2 units/day

    Work done in 7 days:

    (4+2+2) × 7 = 56 units.

    Remaining work = 100 - 56 = 44 units.

    Time taken by Gaurav = 44/2 = 22 days.

    Total time = 7 + 22 = 29 days.


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