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How long did it take Carlos to drive nonstop from his home to Atlanta
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Hoozan
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How long did it take Carlos to drive nonstop from his home to Atlanta [#permalink] New post  26 Jan 2021, 03:41
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65% (hard)

Question Stats:

38% (01:07) correct 62% (01:17) wrong based on 29 sessions

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How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

(1) Carlos's average speed for the trip was 55 miles per hour.

(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.
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stne
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Re: How long did it take Carlos to drive nonstop from his home to Atlanta [#permalink] New post  29 Jan 2021, 22:23
Hoozan wrote:
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

(1) Carlos's average speed for the trip was 55 miles per hour.

(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.



Let the required distance be d and let speed be s. We need \(\frac{d}{s}\)

(1) Carlos's average speed for the trip was 55 miles per hour.
We have no info. for d. Hence INSUFF.

(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.
\(\frac{d}{1.2s}=3\)
so \(\frac{d}{s}=1.2*3=3.6\)
SUFF.

Ans-B

Hope it's clear.
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Re: How long did it take Carlos to drive nonstop from his home to Atlanta [#permalink] New post  31 Jan 2021, 15:50
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Hoozan wrote:
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

(1) Carlos's average speed for the trip was 55 miles per hour.

(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.


Statement 1:

Only have speed, insufficient.

Statement 2:

The trip would have taken 3 * 120% hours at normal speed. Sufficient.

Ans: B
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