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    Question

    Ram and Shyam are partners in completing a project. Ram

    can finish the project in 42 days, while Shyam can complete it in 54 days. Both began the project together, but Ram had to stop after 21 days, leaving Shyam to finish the project by himself. How many days did it take to complete the entire project?
    A 26 days Correct Answer Incorrect Answer
    B 27 days Correct Answer Incorrect Answer
    C 28 days Correct Answer Incorrect Answer
    D 24 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total work = 378 units (LCM of 42 and 54) Amount of work done by Ram in one day = 378/42 = 9 units Amount of work done by Shyam in one day = 378/54 = 7 units Amount of work done by Ram and Shyam together in 21 days = 21 × 16 = 336 units Time taken by Shyam to complete the remaining work = (378 – 336)/7 = 6 days Total time = 21 + 6 = 27 days

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