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At the rate of f floors per m minutes, how many floors does an elevato

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At the rate of f floors per m minutes, how many floors does an elevato [#permalink]

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New post 21 Nov 2015, 07:34
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Question Stats:

76% (00:55) correct 24% (01:01) wrong based on 143 sessions

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At the rate of f floors per m minutes, how many floors does an elevator travel in s seconds?

(A) \(\frac{fs}{60m}\)

(B) \(\frac{ms}{60f}\)

(C) \(\frac{fm}{s}\)

(D) \(\frac{fs}{m}\)

(E) \(\frac{60s}{fm}\)

[Reveal] Spoiler:
Explanation: You’re given a rate and a time, and you’re looking for distance. This is clearly a job for the rate formula. Since the rate is in terms of minutes and the time is in seconds, you’ll need to convert one or the other; it’s probably easier to convert s seconds to minutes than the rate to floors per second. Since 1 minute equals 60 seconds, s seconds equals \(\frac{s}{60}\) minutes. Now we can plug our rate and time into the rate formula: \(r=\frac{d}{t}\)
\(\frac{f}{m}=d/\frac{s}{60}\)

Now, cross-multiply:

\(dm = \frac{fs}{60}\)

\(d=\frac{fs}{60m}\), choice (A).
[Reveal] Spoiler: OA

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At the rate of f floors per m minutes, how many floors does an elevato [#permalink]

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New post 21 Nov 2015, 14:46
gmatser1 wrote:
At the rate of f floors per m minutes, how many floors does an elevator travel in s seconds?

(A) \(\frac{fs}{60m}\)

(B) \(\frac{ms}{60f}\)

(C) \(\frac{fm}{s}\)

(D) \(\frac{fs}{m}\)

(E) \(\frac{60s}{fm}\)


Looks like a good candidate for the INPUT-OUTPUT approach.

Let's INPUT some values for f, m and s.
Let's say that f = 8 floors, m = 2 minutes, and s = 30 seconds

That is, the elevator travels at a rate of 8 floors per 2 minutes.
How many floors does an elevator travel in 30 seconds?

Well, 8 floors in 2 minutes translates to 4 floors in 1 minute, and 2 floors in 30 seconds.

So, when f = 8, m = 2, and s = 30, the answer to the question (OUTPUT) is 2 floors

Now, let's plug f = 8, m = 2, and s = 30 into each answer choice and see which one yields an OUTPUT of 2

(A) \(\frac{(8)(30)}{60(2)}\) = 2 GREAT!

(B) \(\frac{(2)(30)}{60(8)}\) = 1/8 ELIMINATE

(C) \(\frac{(8)(2)}{(30)}\) = 8/15 ELIMINATE

(D) \(\frac{(8)(30)}{(2)}\) = 120 ELIMINATE

(E) \(\frac{60(30)}{(8)(2)}\) = some big number ELIMINATE

Answer: A

For more information on this question type and this approach, we have some free videos:
- Variables in the Answer Choices - http://www.gmatprepnow.com/module/gmat- ... /video/933
- Tips for the Algebraic Approach - http://www.gmatprepnow.com/module/gmat- ... /video/934
- Tips for the Input-Output Approach - http://www.gmatprepnow.com/module/gmat- ... /video/935

Cheers,
Brent
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Re: At the rate of f floors per m minutes, how many floors does an elevato [#permalink]

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New post 21 Nov 2015, 15:19
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f/m=floors per minute
f/60m=floors per one second
fs/60m=floors per s seconds

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Re: At the rate of f floors per m minutes, how many floors does an elevato [#permalink]

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Re: At the rate of f floors per m minutes, how many floors does an elevato [#permalink]

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New post 29 Sep 2017, 10:31
gmatser1 wrote:
At the rate of f floors per m minutes, how many floors does an elevator travel in s seconds?

(A) \(\frac{fs}{60m}\)

(B) \(\frac{ms}{60f}\)

(C) \(\frac{fm}{s}\)

(D) \(\frac{fs}{m}\)

(E) \(\frac{60s}{fm}\)


We have a rate of (f floors)/(m minutes) and need to determine how many floors an elevator travels in s seconds = s/60 minutes, and thus:

f/m x s/60 = fs/60m

Answer: A
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Re: At the rate of f floors per m minutes, how many floors does an elevato   [#permalink] 29 Sep 2017, 10:31
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