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Six machines, each working at the same constant rate [#permalink]
26 Apr 2010, 20:53
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This post was BOOKMARKED
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Difficulty:
5% (low)
Question Stats:
81% (01:48) correct
19% (01:05) wrong based on 398 sessions
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?
Re: Six machines, each working at the same constant rate [#permalink]
26 Apr 2010, 21:50
1
This post received KUDOS
zz0vlb wrote:
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days? a.2 b.3 c.4 d.6 e.8
let each machine work at rate of x days 1/x+1/x+1/x+1/x+1/x+1/x = 1/12 6/x = 1/12 x = 72 now y is number of machines needed to complete job in 8 days so, y/72 = 1/8 y = 9 required = y-x = 3 hence b.
Re: Six machines, each working at the same constant rate [#permalink]
27 Apr 2010, 05:02
3
This post received KUDOS
zz0vlb wrote:
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?
Another solution which is faster is Since each machine works at a constant rate. The time needs to bought down from 12 to 8. So the new time is 2/3 of the original time. Thus to achieve this we need the rate to be 3/2 of original.
So 3/2* 6 = 9
So we need 9-6 = 3 more machines. _________________
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?
A. 2 B. 3 C. 4 D. 6 E. 8
Let \(x\) be the time needed for 1 machine to complete the job, so rate of one machine is \(\frac{1}{x}\) (rate is the reciprocal of time) --> rate of 6 machines would be \(\frac{6}{x}\).
As \(job=time*rate\) --> \(1=12*\frac{6}{x}\) --> \(x=72\) days needed for 1 machine to complete the job.
To complete the job in 8 days \(\frac{72}{8}=9\) machines are needed.
Another solution which is faster is Since each machine works at a constant rate. The time needs to bought down from 12 to 8. So the new time is 2/3 of the original time. Thus to achieve this we need the rate to be 3/2 of original.
So 3/2* 6 = 9
So we need 9-6 = 3 more machines. _________________
Re: Six machines, each working at the same constant rate [#permalink]
19 Jun 2010, 18:52
3
This post received KUDOS
Actually, this was more simple than I thought. When I first saw this, I started to panic thinking it's a rate question. But then I took a step back, and it was the simplest of calculations.
So here's the deal:
12 days -> 6 machines: 8 days -> ?
8 days means you definitely need more machines than the 6 and in such case the equation looks like-
Re: GMAT PREP (PS) [#permalink]
18 Jun 2011, 17:56
Lets look at this way :As the rate of one machine is constant i e 1/(12*6)=1/72 .Even after addition of extra machines the rate will remain the same .Hence,if machines are x now ,the rate becomes 1/8x which is equal to 1/72. X comes out to be 9 . Machines added=9-6=3 _________________
Re: GMAT PREP (PS) [#permalink]
05 Aug 2011, 12:17
6 machines 12 days... therefore (6*12)/8=9number of machines required to complete the job in 8 days Therefore additional machines required=9-6=3 Answer is B _________________
Hi, can someone tell me if this is really a level 700 question? I felt like this was so much easier than some of the other questions posted but its labelled as level 700.
Hi, can someone tell me if this is really a level 700 question? I felt like this was so much easier than some of the other questions posted but its labelled as level 700.
Yes its definitely not a 700 level question but then rating of a question on a forum is as per the poster. A 700 level question for me can look like a 500 for you and vice-versa. I would rather concentrate on the take aways from each question
I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!
DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min
Re: Six machines, each working at the same constant rate [#permalink]
03 Mar 2013, 23:09
zz0vlb wrote:
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?
Re: Six machines, each working at the same constant rate [#permalink]
24 Dec 2014, 05:20
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Re: Six machines, each working at the same constant rate [#permalink]
07 Feb 2016, 08:04
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
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