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# Machine J runs at a constant rate and produces a lot consisting of 300

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Math Expert
Joined: 02 Sep 2009
Posts: 52392
Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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18 Apr 2017, 02:48
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:59) correct 10% (01:14) wrong based on 67 sessions

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Machine J runs at a constant rate and produces a lot consisting of 300 bottles in 4 hours. How much less time would it take to produce the lot of cans if both machines J and P were run simultaneously?

(1) Both machines J and P produce the same number of cans per hour.
(2) It takes machine J twice as long to produce the lot of cans as it takes machines J and P running simultaneously to produce the lot.

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Joined: 24 Apr 2016
Posts: 331
Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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18 Apr 2017, 09:17
Machine J runs at a constant rate and produces a lot consisting of 300 bottles in 4 hours. How much less time would it take to produce the lot of cans if both machines J and P were run simultaneously?

We would either need the rate at which machine P produces a lot or the combined rate for machines J and P.

(1) Both machines J and P produce the same number of cans per hour.

As this statement provides the rate at which machine P produces a lot, this statement is sufficient.

(2) It takes machine J twice as long to produce the lot of cans as it takes machines J and P running simultaneously to produce the lot.

As this statement provides the combined rate for machine J and P to produce the lot, hence this statement is sufficient.

Manager
Joined: 04 Apr 2015
Posts: 106
Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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18 Apr 2017, 23:06
IMO E

since no information is given about the rate of J producing cans.

Waiting for OA
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Joined: 17 Nov 2016
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Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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22 Apr 2017, 21:26
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Bunuel wrote:
Machine J runs at a constant rate and produces a lot consisting of 300 bottles in 4 hours. How much less time would it take to produce the lot of cans if both machines J and P were run simultaneously?

(1) Both machines J and P produce the same number of cans per hour.
(2) It takes machine J twice as long to produce the lot of cans as it takes machines J and P running simultaneously to produce the lot.

Hi Bunuel,

Just want to clarify, is there an error in the question stem? Has bottles and cans been used interchangeably?
Because although it doesn't mention the cans earlier, it does refer to them as "the lot of cans". If the cans were different, it would mention "a batch of cans" right?

Please let me know. Thanks!

Also, if bottles and cans are same, then D. If not then E.
Re: Machine J runs at a constant rate and produces a lot consisting of 300 &nbs [#permalink] 22 Apr 2017, 21:26
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# Machine J runs at a constant rate and produces a lot consisting of 300

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