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

Question

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 P produces lots faster than machine J.
(2) Machine J and machine P finish at least 3 lots in 3 hours working simultaneously.

*Edited the first statement.

pushpitkc · Answer

From the question stem, we know that Machine J will produce 75 bottles/hour in a lot of 300.

(1) Machine J produces lots faster than machine P.
Knowing that Machine J produce lots faster than machine P does not give us the time 
the machines take to produce the lots. Hence, insufficient.
(2) Machine J and machine P finish at least 3 lots in 3 hours working simultaneously. 
Since it is at least 3 hours, for 3 hours we will get a different solution.
Similarly for 4 hours of production, we will get a different solution.
Hence insufficient.

Having the information, together does not arrive at a solution(Option E)

mohshu · Answer

stat1: no info about relative rate,,, not suff

stat2: stem says atleast 3 lots ,,,it can 4 lots, 5 lots etc...no concrete info,,not suff

combined no new info,,,not suff

ans E

kannu44 · Answer

(1) Machine J produces  lots faster than machine P. 
(2) Machine J and machine P finish  at least  3 lots in 3 hours working simultaneously.

No conclusion can be done from either A or B or from both
Hence E is the answer

Ankita1993 · Answer

Hi Bunuel - The question seems flawed as per GMAT standards as statement 2 is contradicting statement 1. Explanation: If Machine J is more efficient that Machine P (statement 1), then these 2 machines working together will take more than half of the time taken by Machine J alone. However, as per Statement 2, both machines working together are taking time less than half of time taken by machine J.

Also, adding link to your reply on contradiction in DS statements : https://gmatclub.com/forum/data-suffici ... fl=similar

Requesting clarification from you.

Himag98 · Answer

bb  isnt the question a little misleading given it mentions rate of bottling and then asks us for rate of cans of machines?

bb · Answer

Thx. Pinging  Bunuel  for clarification - I see a few questions about contradictory statements

Bunuel · Answer

Yes, you are correct, as written, the two statements contradict each other.

• Statement (1) says J is faster than P.
• Statement (2) forces P to be faster than J.

Both cannot be true at the same time.

I have updated Statement (1) to say machine P produces lots faster than machine J, which removes the contradiction.

Bunuel · Answer

Yes, it’s misleading. The question switches from bottles to cans. I’ve fixed it by changing “cans” to “bottles” so the wording is consistent.

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

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GMAT Data Sufficiency (DS) Questions

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

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615 to 715 in 15 Days (Ria's Strategies)

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