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# Your wish is my command Laxieqv, here is an especially

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Director
Joined: 14 Oct 2003
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01 Nov 2005, 22:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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." â€”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/international/asia/21prexy.html

VP
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01 Nov 2005, 22:32
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
Director
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01 Nov 2005, 22:35
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
SVP
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Re: All I do is work work work!!!! (from challenge 6) [#permalink]

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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.
GMAT Club Legend
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01 Nov 2005, 22:44
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
Director
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01 Nov 2005, 22:44
Where did you all go!!?
laxie, you time is up. You can post the answer!
Director
Joined: 14 Oct 2003
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01 Nov 2005, 22:51
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." â€”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/international/asia/21prexy.html

01 Nov 2005, 22:51
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