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If one typist can type a certain manuscript in 8 minutes, [#permalink]

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14 Nov 2003, 12:22

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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
_________________

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.

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!!!!
_________________

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).

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.

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...
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993