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    Question

    A red JCB machine can complete the excavation of a field

    in 10 days, while a green JCB machine can accomplish the same task in 15 days. If both machines operate simultaneously for 4 days, what fraction of the field will they have excavated together?
    A 3/5 Correct Answer Incorrect Answer
    B 4/5 Correct Answer Incorrect Answer
    C 1/2 Correct Answer Incorrect Answer
    D 2/3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total work = 150 units Amount of work done by Red JCB machine in one day = 150/10 = 15 units Amount of work done by Green JCB machine in one day = 150/15 = 10 units Amount of work done by both machine in one day = 15 + 10 = 25 units Time taken by both machines together to complete the work = 150/25 = 6 days So the part of work done by both the machines together in 4 days = 4/6 = 2/3 Hence, option d.

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