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Director
Joined: 14 Oct 2003
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Your wish is my command Laxieqv, here is an especially [#permalink]
01 Nov 2005, 22:24
Your wish is my command Laxieqv, here is an especially "non-understandable" word problem for you!
Two machines are sawing wood but due to space limitations only one of the two machines can operate. Machine A is used for the first shift and the other machine for the second shift, while both work half of the third shift. Machine A can do the job in 12 days if it worked two shifts and Machine B can do the job in 15 days if it worked two shifts. How many days will it take to do the job with the current work schedule?
14
13
11
9
7
I'm going to answer nature's call while I let you blokes solve this one...
_________________
"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005
http://www.nytimes.com/2005/11/21/inter ... prexy.html
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VP
Joined: 22 Aug 2005
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D. 9
A completes 1/(12 * 2)th job in 1 shift
B completes 1/(15*2)th job in 1 shift
in one day, as per schedule, they both completes:
1/24 + 1/30 + 1/(24*2) + 1/(30*2) = 9/80th of the job
job, therefore, will complete in 80/9 or 9 days
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Director
Joined: 21 Aug 2005
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3rd shift, is what is confusing.
if 1/2 of 3rd shift A works and 1/2 B works, it is 80/9 = 9
if only for 1/2 of the shift both work (since both can't work simultaneously - say 1/4 A and 1/4 B) - Ans would be 32/3 = 11
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SVP
Joined: 05 Apr 2005
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Re: All I do is work work work!!!! (from challenge 6) [#permalink]
01 Nov 2005, 22:44
My old is gold approach:
Working 2 shifts in a day, A can do a job in 12 days.
Working 1.5 shifts in a day, A can do a job in 16 days.
Working 2 shifts in a day, B can do a job in 15 days.
Working 1.5 shifts in a day, B can do a job in 20 days.
Working 1.5 shifts in a day, A and B can do {(1/16)+(1/20)} = 9/80 of a job in 1 day.
Working 1.5 shifts in a day, A and B can do a job in 80/9 = approx 9 days.
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GMAT Club Legend
Joined: 07 Jul 2004
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A: 1 job in 12 days if work 2 shifts = 1 job in 24 days per shift = 1/24 job per day per shift
B: 1 job in 15 days if work 2 shits = 1 job in 30 days per shift = 1/30 job per day per shift
Machine A works 3/2 shifts per day = 3/2*1/24 = 1/16 of the job per day
Machine B works 3/2 shifts per day = 3/2*1/30 = 1/20 of the job per day
Together, 9/80 job per day, so 1 job will take 80/9 days ~ 9 days
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Director
Joined: 21 Aug 2005
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Where did you all go!!?
laxie, you time is up. You can post the answer!
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Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
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Jeez!!! you guys are like jack rabbits on the only cabbage left in the field.
Nice job guys OA is 9
_________________
"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005
http://www.nytimes.com/2005/11/21/inter ... prexy.html
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