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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: 50058
Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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17 Mar 2017, 03:04
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Difficulty:

15% (low)

Question Stats:

87% (01:03) correct 13% (01:48) wrong based on 66 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 bottles if both machines J and P were run simultaneously?

(1) Machine J can only produce a maximum of 10 lots per day.
(2) Machine J produces twice the number of bottles per hour as machine P.

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

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17 Mar 2017, 12:11
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 bottles if both machines J and P were run simultaneously?

To solve this we need 1 piece of Information:

(i) The rate at which Machine P produces the bottles.

Statement (1) gives no information on the Rate of Machine P, hence is insufficient.

(2) Machine J produces twice the number of bottles per hour as machine P.

Statement (2) tells us that the Rate at which machine P produces bottle is half the rate at which machine J produces. Since this statement gives the information we are looking for, hence is sufficient.

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Joined: 28 Jun 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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17 Mar 2017, 12:37
quantumliner 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 bottles if both machines J and P were run simultaneously?

To solve this we need 1 piece of Information:

(i) The rate at which Machine P produces the bottles.

Statement (1) gives no information on the Rate of Machine P, hence is insufficient.

(2) Machine J produces twice the number of bottles per hour as machine P.

Statement (2) tells us that the Rate at which machine P produces bottle is half the rate at which machine J produces. Since this statement gives the information we are looking for, hence is sufficient.

From statement 1) we can consider that Machine J produces 3000 bottles in 24 Hrs right? So, I think even Statement 1) would be suffice to answer the question Can you shed some light on my assumption?

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

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17 Mar 2017, 12:40
appu2693

The question stem asks for "How much less time would it take to produce the lot of bottles if both machines J and P were run simultaneously?"

Statement 1 does not give any information on Machine P.

Does it help?
Senior Manager
Joined: 06 Dec 2016
Posts: 250
Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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18 Mar 2017, 08:31
1 - We do not know anything about Machine P so we can not answer the question - Insufficient
2 - We were told that machine J runs at a constant rate and produces a lot consisting of 300 bottles in 4 hours. Therefore, if we have information on Machine J and Machine P, we would be able to find out how much less time would it take to produce the lot of bottles if both machines J and P were run simultaneously - Sufficient

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Joined: 22 Dec 2016
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Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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20 Mar 2017, 10:34
Both Machine J and P are run simultaneously.

1) Insufficient - The statement does not provide any information about Machine P. We are not able to solve the problem.
2) Sufficient - We are given Machine J produces 300 bottles/4 hours, which is enough information to calculate the rate (75 bottles / Hr). Machine P produces half the amount of bottles per hour as Machine J (~37 bottles). Working together, Machine J and P produce 113 bottles/ Hr, compared to Machine J alone 75 bottles / Hr.

In Statement 2, we have enough information to conclude a time difference to produce the lot of 300 bottles when Machine J and Machine P are working together, compared to Machine J alone. The answer is B.
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Joined: 10 Apr 2015
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Re: Machine J runs at a constant rate and produces a lot consisting of 300  [#permalink]

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20 Mar 2017, 21:46
1. No information on P. NS clearly.
2. It gives exact rate of P. Suff.
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Re: Machine J runs at a constant rate and produces a lot consisting of 300 &nbs [#permalink] 20 Mar 2017, 21:46
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