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15 July, 07:51

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?

A. 50

B. 45

C. 30

D. 25

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  1. 15 July, 10:45
    0
    C. 30

    Explanation:

    If the first machine processes 100 units in 5 hours,

    Number of units in 1 hour = 100/5

    = 20 Units

    In 2 hours, this machine would process

    = 2 * 20

    = 40 Units

    Therefore where there are 100 units to be processed in 2 hours, the first machine would process 40 units in the given time

    The new machine would have to process the remaining

    Number of units to be processed by new machine

    = 100 - 40

    = 60 Units

    If the machine is to process 60 units in 2 hours, constant rate, in units per hour, of the new machine

    = 60/2

    = 30 units per hour
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