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14 December, 22:15

1. Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

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  1. 14 December, 23:04
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    Answer: It will take Machine A 6hours

    Explanation:

    Let Machine A's output = x

    Let Machine B's output = y

    Therefore, x + y = 1/3 ... Eqn1

    Then

    2x + y = 1/2 ... Eqn2

    Making y the subject of the formula in eqn 1

    y = 1/3 - x

    Substitute the value of y into eqn 2

    2x + (1/3 - x) = 1/2

    2x + 1/3 - x = 1/2

    X = 1/2 - 1/3

    X = 1/6

    Since x represents machine A, therefore it takes Machine A 6hours to produce 1 widget
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