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16 May, 21:34

Three machines, individually, can do a certain job in 4, 5, and 6 hours, respectively. What is the greatest part of the job that can be done in one hour by two of the machines working together at their respective rates? (A) 11/30

(B) 9/20

(C) 3/5

(D) 11/15

(E) 5/6

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  1. 16 May, 22:04
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    (B) 9/20

    Step-by-step explanation:

    The fastest machine can do 1/4 of the job in 1 hour. The second-fastest machine can do 1/5 of the job in 1 hour. Together, these two machines can do ...

    (1/4) + (1/5) = (5+4) / (5·4) = 9/20

    of the job in 1 hour.

    9/20 of the job can be done in 1 hour by two of the machines.
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