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    Question

    Akash can finish a task alone in

    24 days, while Akash and Bittu working together can complete the same task in 14 days. If Bittu starts the work alone and stops after 19.6 days, how many days will Akash need to finish the remaining work by himself?
    A 10 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 18 days Correct Answer Incorrect Answer
    D 22 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work = L.C.M of 24 and 14 = 168 units So, efficiency of ‘Akash’ alone = 168 ÷ 24 = 7 units/day Combined efficiency of ‘Akash’ and ‘B’ = 168 ÷ 14 = 12 units/day So, efficiency of ‘Bittu’ alone = 12 – 7 = 5 units/day Work completed by ‘Bittu’ alone in 19.6 days = 19.6 × 5 = 98 units Time taken by ‘Akash’ alone to complete the remaining work = (168 – 98) ÷ 7 = 10 day

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