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    Question

    Rahul can complete a project in 50 days, while Karan can

    finish the same project in 75 days. Rahul starts working alone, and after 30 days, Karan joins him. How many additional days will Rahul and Karan take together to finish the remaining work?
    A 20 days Correct Answer Incorrect Answer
    B 15 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 14 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; Let the total work = 150 units (LCM of 50 and 75) Rahul’s efficiency = 150/50 = 3 units per day Karan’s efficiency = 150/75 = 2 units per day Work done by Rahul in 30 days = 30 × 3 = 90 units Remaining work = 150 – 90 = 60 units Work done by Rahul and Karan together = 60/(3+2) = 60/5 = 12 days

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