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If one typist can type a certain manuscript in 8 minutes,

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If one typist can type a certain manuscript in 8 minutes, [#permalink] New post 14 Nov 2003, 11:22
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A
B
C
D
E

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If one typist can type a certain manuscript in 8 minutes, while another typist can type the same manuscript in 12 minutes, how long would it take both typists, working simultaneously, to type the manuscript?
(A) 3 minutes, 36 seconds
(B) 4 minutes, 48 seconds
(C) 5 minutes, 15 seconds
(D) 6 minutes
(E) 10 minutes

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shubhangi

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 [#permalink] New post 14 Nov 2003, 11:46
shubhangi wrote:
How did u get that?

The problem talks to me! haha... j/k. I'll show how I got it once some people get a chance to work on it. Meanwhile check your messagebox, I sent it to you.
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 [#permalink] New post 14 Nov 2003, 18:11
hey ,
this is the way i would do it ...hope you find it use full.
since the sum has given you one two diff. ppl doing the same piece of work in two diff. periods of time break the work done by them into the same time frame. in this case check how much each one does in 1 minute . its works out to 1/8of the work and 1/12 of the work . add the work that can be done by them together in 1 minute. works out to 5/24. the reciprocal will give you the time taken by them to finish the piece wrk when the work together (in tandem).
you can use this approach in all work related problems of this kind.

cheers
adarsh

ps. be sure to tell me if theres anypart u didnt comprehend!!!! :)

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adarshsrinivas

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 [#permalink] New post 19 Nov 2003, 17:41
Since 2 people working together is a common problem, it's better to remember that if A and B take time a and b to do the same work, they both together would do the same work in ab/(a+b), If C joins them, (ab+bc+ca)/(a+b+c).
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 [#permalink] New post 20 Nov 2003, 08:42
Pawargmat, indeed, yr formula is very handy!!
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 [#permalink] New post 20 Nov 2003, 09:10
I would do this problem without computation.

If one typist can type a certain manuscript in 8 minutes, while another typist can type the same manuscript in 12 minutes, how long would it take both typists, working simultaneously, to type the manuscript?

We know that two identical typists that could do it in 8 minutes independently could do it in 4 minutes together.

We know that two identical typists that could do it in 12 minutes independently could do it in 6 minutes together.

The answer must be between 4 and 6.

Futhermore, since the fast typist will do more of the work, the time spent will be quicker than the mean of those two numbers (5).

B is the only choice between 4 and 5 minutes.

I have repeatedly displayed my foibles throughout this forum and realize that I have no position to make judgments-- but this is a problem that many of us should be able to do in fewer than ten seconds.
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Re: PS [#permalink] New post 22 Nov 2003, 05:14
shubhangi wrote:
If one typist can type a certain manuscript in 8 minutes, while another typist can type the same manuscript in 12 minutes, how long would it take both typists, working simultaneously, to type the manuscript?
(A) 3 minutes, 36 seconds
(B) 4 minutes, 48 seconds
(C) 5 minutes, 15 seconds
(D) 6 minutes
(E) 10 minutes



Ha Ha. While I agree with the answer for the purposes of the GMAT, I would like to point out that this is one of those problems with a math solution that doesn't make sense in the physical world. Let's say the manuscript was one page (both these typist are kinda slow). The answer assumes that both typist are working simultaneously. I would like to see a typewritter that allows two typists to work on the same page simultaneously. Typing a manuscript is also a "forward facing" process. Where does the second person start? (Ideally, the second person would start at the end at work backward, but I have seen to many typist adept at that either <Grin>).

Just some food for thought...

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MBA, Anderson School of Management, UCLA, Class of 1993

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 [#permalink] New post 25 Nov 2003, 04:58
yeah... hardly can two persons type simultaneously...
maybe they change one another after each word?
  [#permalink] 25 Nov 2003, 04:58
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If one typist can type a certain manuscript in 8 minutes,

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