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    Question

    Rajesh and Bhupesh can complete a piece of work in 20 days and Bhupesh alone in 25 days. In how many days can Rajesh alone complete the work?

    A 90 days Correct Answer Incorrect Answer
    B 80 days Correct Answer Incorrect Answer
    C 75 days Correct Answer Incorrect Answer
    D 100 days Correct Answer Incorrect Answer

    Solution

    ATQ, Rajesh and Bhupesh together finish the work in 20 days, which means their combined work rate is 1/20 of the work per day. Bhupesh alone finishes the work in 25 days, so his work rate is 1/25 of the work per day. To find Rajesh’s work rate, we subtract Bhupesh’s work rate from their combined rate: Combined rate - Bhupesh’s rate = Rajesh’s rate 1/20 - 1/25 = 5/100 - 4/100 = 1/100 Rajesh’s work rate is thus 1/100 of the work per day. To find out how long he takes to do the entire work, we take the reciprocal of his work rate: Rajesh can complete the work in 100 days.

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