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    Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit's speed is 80% of Amit's speed and the total key depressions in the
    Question

    Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit's speed is 80% of Amit's speed and the total key depressions in the assignment are 5,76,000. What is Amit's speed in key depressions per hour if they work for 8 hours a day?

    A.

    4800

    B.

    6400

    C.

    8000

    D.

    7200

    Correct option is C

    Given:
    Total work = 5,76,000 key depressions
    Time = 5 days
    Working hours per day = 8
    Sujit’s speed = 80% of Amit’s speed
    Let Amit’s speed = x key depressions/hour
    Then Sujit’s speed = 0.8x

    Formula:
    Work = (Total combined speed/hour × hours/day × total days)
    Solution:

    Total speed = (x + 0.8x) = 1.8x

    Work = 1.8x × 8 × 5 = 72x
    So,
    72x = 576000
    x = 576000/72

    x = 8000 key depressions/hour

    Correct Answer: (c) 8000

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