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    Question

    If Arjun can complete his work in 28 days by working 4

    hours a day, how many hours a day should he work to finish the same work in 16 days?
    A 10 hrs Correct Answer Incorrect Answer
    B 7 hrs Correct Answer Incorrect Answer
    C 12 hrs Correct Answer Incorrect Answer
    D 14 hrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of Arjun be 'x' units per hour

    Therefore, total work = 4 × 28 × x = 112x units

    Let the time he should work to complete the work in 16 days be 'y' hours a day.

    ATQ;

    112x = 16 × y × x

    Or, y = 7

    Therefore, he should work for 7 hours a day.

    Alternate solution:

    Required time = (4 × 28) ÷ 16 = 7 hours

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