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    Question

    The ratio of number of days taken by Arjun and Bheem to complete a work individually is 7:8 and the ratio of number of days taken by Bheem and Chinky to complete a work individually is 6:7 and the ratio of number of days taken by Chinky, Danny, Elli and Finn to complete a work individually is 28 : 30 : 35 : 40. Arjun takes 21 days to complete a work individually.

    If Chinky worked for whole time and Arjun & Bheem work alternatively with Chinky, then what will be the minimum number of required days to complete the work.

    A (80/7) days Correct Answer Incorrect Answer
    B (17/7) days Correct Answer Incorrect Answer
    C (85/7) days Correct Answer Incorrect Answer
    D (87/7) days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, we can say that Let 2 days work = 2 × 30 + 40 + 35 = 135 unit  12 days work = 12/2 × 135 = 810 unit  Number of days will be minimum when person of higher efficiency work on last day with C,  Hence remaining (840 – 810 = 30 unit) work complete by C & A in =  30/(30 + 40) = 3/7 days  Total work complete in = (87/7) days

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