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    Question

    ‘R’ and ‘S’ can together finish a job in 18

    days. If ‘R’ alone can finish it in 30 days, how many days will ‘S’ alone take?
    A 12 days Correct Answer Incorrect Answer
    B 28 days Correct Answer Incorrect Answer
    C 38 days Correct Answer Incorrect Answer
    D 45 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let total work = LCM (18, 30) = 90 units. Combined efficiency of ‘R’ and ‘S’ = 90 ÷ 18 = 5 units/day Efficiency of ‘R’ = 90 ÷ 30 = 3 units/day Efficiency of ‘S’ = 5 - 3 = 2 units/day Time taken by ‘S’ alone = 90 ÷ 2 = 45 days

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