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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: 57025
Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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22 Mar 2017, 03:34
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15% (low)

Question Stats:

76% (01:12) correct 24% (01:14) wrong based on 78 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) Machines J and P start working simultaneously at 7 a.m.
(2) Machines J and P finish one lot by 7:23 a.m.

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Joined: 21 Mar 2016
Posts: 516
Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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22 Mar 2017, 23:57
stat 1: rate of P cannot be calculated

stat 2 : rate of P cannot be calculated

stat 1 and stat 2 combined implies both finish the lot in 23 mins..
subtract this from the time taken by machine J to produce one lot

ans C
Intern
Joined: 10 Nov 2018
Posts: 34
Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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26 Jul 2019, 03:56
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) Machines J and P start working simultaneously at 7 a.m.
(2) Machines J and P finish one lot by 7:23 a.m.

Hi Bunuel, Statement 1 says that the machines started working simultaneously at 7, but it does not say that before 7 any of the machine was working alone or not.

So even if we combine both statements we cannot arrive at a unique answer. I think the answer should be E.
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Joined: 29 Jul 2019
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Location: United States (NJ)
GMAT 1: 750 Q49 V44
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Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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06 Aug 2019, 12:27
rocky620 wrote:
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) Machines J and P start working simultaneously at 7 a.m.
(2) Machines J and P finish one lot by 7:23 a.m.

Hi Bunuel, Statement 1 says that the machines started working simultaneously at 7, but it does not say that before 7 any of the machine was working alone or not.

So even if we combine both statements we cannot arrive at a unique answer. I think the answer should be E.

Hi rocky620, I think you are misunderstanding what the question is asking. The question asks for how much less time it would take for J and P to produce a lot of cans together, compared to J running alone.

In other words T_J - T_J&P = X

We know T_J = 4 hours or 240 minutes, so any information that can give us T_J&P is sufficient.

From statement I, we have no idea how long it takes to finish the lot, so insufficient.
From statement II, we have no idea how long it takes to finish a lot together still, because we don't know the start time, so insufficient.

With both statements together, we know that it takes J and P 23 minutes to complete a lot together, so 240-23 = 217 minutes faster for J & P to work together than for J to work alone.
Thus, C.

Note, it does not ask 'at what time will 1200 bottles be complete' which would require total run time. All we need is one instance of relative rate (which we have) to answer this.
Re: Machine J runs at a constant rate and produces a lot consisting of 300   [#permalink] 06 Aug 2019, 12:27
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