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18 February, 06:07

Six machines, each working at the same constant rate, together can complete a job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?

(A) 2

(B) 3

(C) 4

(D) 6

(E) 8

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Answers (1)
  1. 18 February, 07:24
    0
    B. 3 more.

    Step-by-step explanation:

    If the time for each of the machines working alone to complete the job = x hours then

    6 * 1/x = 1/12

    1/x = 1/12/6 = 1/72

    x = 72 days.

    So we have the equation

    y * 1/72 = 1/8

    y = 72/8 = 9.
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