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Two machines, Y and Z, work at constant rates producing identical item
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Updated on: 16 May 2016, 10:51
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Difficulty:
35% (medium)
Question Stats:
72% (01:55) correct 28% (02:01) wrong based on 460 sessions
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Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
Two machines, Y and Z, work at constant rates producing identical item
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16 May 2016, 10:53
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umg4147 wrote:
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
A. 6 B. 9 C. 9 1/2 D. 12 E. 13 1/2
Machine Z is 1.5 times slower than machine Y. So, if machine Y takes 9 minutes to produce a batch of items, then it takes machine Z 9*1.5 = 13.5 minutes to produce the same number of items.
Re: Two machines, Y and Z, work at constant rates producing identical item
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14 Jun 2016, 12:35
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lf you assume that machine Y produces 3 items per minute then machine Z produces 2 items per minute. If machine Y takes 9 minutes to produce a batch of items, then machine Y produces 27 items in these 9 minutes. Since machine Z produces the same number of items, it should take machine Z 13.5 minutes to produce 27 items.
Re: Two machines, Y and Z, work at constant rates producing identical item
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10 Sep 2018, 01:59
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72% (01:55) correct 
