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    Question

    'Ajeet' has an efficiency that is 40% lower than

    'Chirag's, where as 'Bittu' is 20% more efficient than 'Chirag'. The time difference between 'Bittu' and 'Chirag' working together and 'Ajeet' and 'Bittu' working together is 8 days. Determine the number of days it takes for 'Ajeet' and 'Chirag' to complete the target together.
    A 25 days Correct Answer Incorrect Answer
    B 65.25 days Correct Answer Incorrect Answer
    C 49.5 days Correct Answer Incorrect Answer
    D 45.22 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total target be 'm' units. Let the efficiency of 'Chirag' be '5a' units/day So, efficiency of 'Ajeet' = 0.6 × 5a = 3a units/day And, efficiency of 'Bittu' = 1.2 × 5a = 6a units/day ATQ, {m/(3a+6a)} - {m/(6a+5a)} = 8 (m/9a) - (m/11a) = 8 11m - 9m = 8 × 99a m = (8 × 99a)/2 = 396a units Combined efficiency of 'Ajeet' and 'Chirag' = 5a + 3a = 8a units/day So, required time = (396a/8a) = 49.5days

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