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    Question

    Initially, Rajat works at a speed

    where he can complete a task in 24 hours, but he maintains this speed for only 16 hours. After that, he reduces his speed to a level where he could finish the entire task in 18 hours. If Rajat continues working without a break, how long will it take him to complete the task?
    A 22 hrs Correct Answer Incorrect Answer
    B 12 hrs Correct Answer Incorrect Answer
    C 19 hrs Correct Answer Incorrect Answer
    D 10 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Rajat's 16 hr work = 16/24 = 2/3. Remaining work = 1 тАУ 2/3 = 1/3. Using work and time formula: This will be completed in {(1/3)├Ч18} i.e. 6 hrs. So, total time taken to complete work = 16 + 6 = 22 hrs.

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