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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.

    Danny & Elli together complete work ‘p’ in (z – (67/52)) days, while Danny & Finn together can complete the work ‘q’ in ‘z’ days. If work ‘Q’ is 20% more than ‘p’, then in how many days Elli can finished the work ‘Q’?

    A 12.25 days Correct Answer Incorrect Answer
    B 15.25 days Correct Answer Incorrect Answer
    C 22.25 days Correct Answer Incorrect Answer
    D 34.25 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, we can say that (28 + 24) × ((z – 67)/52) × 1.2 = (28 + 21) × z  52 × 1.2 × ((z – 67)/52) = 49z  62.4z – 80.4 = 49z  13.4z = 80.4  z = 6  Elli complete work Q in = (28 + 21) × (6/24) = 49/4  = 12.25 days

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