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    Question

    Armaan and Bhanu working together can finish a certain task in 90 days, and Bhanu collaborating with Chintu can complete the same task in 70 days. If Armaan's efficiency is 40% less than Chintu, determine the time Armaan alone needs to complete 80% of the work.

    A 152 days Correct Answer Incorrect Answer
    B 168 days Correct Answer Incorrect Answer
    C 170 days Correct Answer Incorrect Answer
    D 154 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total work be 630 units. (LCM of 90 and 70) Amount of work done by Armaan and Bhanu together in one day = 630/90 = 7 units Amount of work done by Bhanu and Chintu together in one day = 630/70 = 9 units Difference between the efficiencies of Armaan and Chintu = 9 – 7 = 2 units Amount of work done by Chintu alone in one day = 2/0.40 = 5 units Amount of work done by Armaan alone in one day = 0.6 × 5 = 3 units Time taken by Armaan alone to complete 80% work = 0.8 × 630/3 = 168 days

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