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Jonathan can type a 20 page document in 40 minutes, Susan

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Jonathan can type a 20 page document in 40 minutes, Susan [#permalink]

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Question Stats:

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Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?

A. 5 minutes
B. 10 minutes
C. 15 minutes
D. 18 minutes
E. 20 minutes
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Feb 2012, 13:58, edited 1 time in total.
Edited the question and added the OA
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Re: Working together question [#permalink]

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timmaxwell8 wrote:
30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?

A. 5 minutes
B. 10 minutes
C. 15 minutes
D. 18 minutes
E. 20 minutes


J=20/40=1/2per min
S=20/30=2/3per min
JK=20/24=5/6per min

In one min together 1/2+2/3+5/6=12/6=2 pages.

For 20 pages=20/2=10

B.
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Re: Working together question [#permalink]

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New post 12 Oct 2009, 21:13
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You may set up common equation like this:

job/A+job/B+job/C=job/x
Memorize this universal formula, you will need it definitely for GMAT.

and find x from this equation
In this specific case, the equation will look like this:

20/40+20/30+20/24=20/x
If you solve this equation, you get the same answer D (10)

If you like my post, please give me kudos. :)
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Re: Working together question [#permalink]

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New post 13 Oct 2009, 10:23
I will go with option B)10
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Re: Working together question [#permalink]

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New post 13 Oct 2009, 10:54
Bunuel wrote:
timmaxwell8 wrote:
30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?

A. 5 minutes
B. 10 minutes
C. 15 minutes
D. 18 minutes
E. 20 minutes


J=20/40=1/2per min
S=20/30=2/3per min
JK=20/24=5/6per min

In one min together 1/2+2/3+5/6=12/6=2 pages.

For 20 pages=20/2=10

B.



If the work involved here is to type the 20page document we can even avoid calculating time taken per page.
will this apporach backfire?

Regards
Asterix
"Time is of gr8 essence"
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Re: Working together question [#permalink]

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New post 13 Oct 2009, 11:14
1/40+1/30+1/24 = 24/240 = 1/10 work per min = 10 min to complete work :wink:
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Re: Working together question [#permalink]

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New post 17 Oct 2009, 23:32
Formula for time taken by 3 guys is:

t1*t2*t3 / ( t1*t2 + t2*t3 + t3*t1 ) , this might be lead to a faster calculation :)
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Re: Working together question [#permalink]

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New post 29 Oct 2011, 06:42
I made a stupid mistake! :oops:
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Re: Jonathan can type a 20 page document in 40 minutes, Susan [#permalink]

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New post 21 Oct 2013, 06:44
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Re: Jonathan can type a 20 page document in 40 minutes, Susan [#permalink]

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New post 10 Oct 2016, 07:24
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).

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Re: Jonathan can type a 20 page document in 40 minutes, Susan   [#permalink] 10 Oct 2016, 07:24
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