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21 Nov 2015, 07:34
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:25) correct
22%
(01:44)
wrong
based on 564
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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) \(\frac{60s}{fm}\)
(A) \(\frac{fs}{60m}\)
(B) \(\frac{ms}{60f}\)
(C) \(\frac{fm}{s}\)
(D) \(\frac{fs}{m}\)
(E) \(\frac{60s}{fm}\)
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).
\(\frac{f}{m}=d/\frac{s}{60}\)
Now, cross-multiply:
\(dm = \frac{fs}{60}\)
\(d=\frac{fs}{60m}\), choice (A).
21 Nov 2015, 14:46
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gmatser1
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 - https://www.gmatprepnow.com/module/gmat- ... /video/933
- Tips for the Algebraic Approach - https://www.gmatprepnow.com/module/gmat- ... /video/934
- Tips for the Input-Output Approach - https://www.gmatprepnow.com/module/gmat- ... /video/935
Cheers,
Brent
