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Machine A produces bolts at a uniform rate of 120 every 40

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Machine A produces bolts at a uniform rate of 120 every 40 [#permalink] New post 07 Dec 2012, 04:03
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Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?

(A) 22
(B) 25
(C) 28
(D) 32
(E) 56
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Re: Machine A produces bolts at a uniform rate of 120 every 40 [#permalink] New post 07 Dec 2012, 04:05
Walkabout wrote:
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?

(A) 22
(B) 25
(C) 28
(D) 32
(E) 56


Machine A produces 120/40=3 bolts per second;
Machine B produces 100/20=5 bolts per second.

Running simultaneously, they produce 3+5=8 bolts per second, thus it will take them 200/8=25 seconds to produce 200 bolts.

Answer: B.
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Re: Machine A produces bolts at a uniform rate of 120 every 40   [#permalink] 07 Dec 2012, 04:05
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