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    Question

    тАШAтАЩ and тАШBтАЩ can do a piece of work in 10 days

    and 15 days, respectively. They started working together but тАШAтАЩ left after 3 days. Find the time taken by тАШBтАЩ to complete the remaining work.
    A 6.5 days Correct Answer Incorrect Answer
    B 2.5 days Correct Answer Incorrect Answer
    C 5.5 days Correct Answer Incorrect Answer
    D 7.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 30 units (LCM of 10 and 15). Efficiency of тАШAтАЩ = 30/10 = 3 units/day Efficiency of тАШBтАЩ = 30/15 = 2 units/day Amount of work done by тАШAтАЩ and тАШBтАЩ together in 3 days = (3 + 2) ├Ч 3 = 15 units Time taken by B to complete remaining work = {(30 тАУ 15)/2} = 7.5 days

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