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GMAT Set 6 Q13

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by Abhijit K » Thu Feb 19, 2015 12:45 am
Is the number of seconds required to travel d1 feet at r1 feet per second greater than the
number of seconds required to travel d2 feet at r2 feet per second?
(1) d1 is 30 greater than d2.
(2) r1 is 30 greater than r2.

Is the answer C or E?
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Source: — Data Sufficiency |

by GMATGuruNY » Thu Feb 19, 2015 3:34 am
Is the number seconds required to travel d� feet at r� feet per second greater than the number of seconds required to travel d₂ feet at r₂ feet per second?

(1) d� is 30 greater than d₂
(2) r� is 30 greater than r₂
Clearly, neither statement alone is sufficient.

Statements combined:
Since d�=d₂+30 and r�=r₂+30, the question stem can be rephrased as follows:
Is (dâ‚‚ + 30)/(râ‚‚ + 30) > dâ‚‚/râ‚‚?

Case 1: dâ‚‚=1 and râ‚‚=1
(1+30)/(1+30) > 1/1
1 > 1.
NO.

Case 2: dâ‚‚=1 and râ‚‚=2
(1+30)/(2+30) > 1/2
31/32 > 1/2.
YES.

Since in the first case the answer is NO, but in the second case the answer is YES, INSUFFICIENT.

The correct answer is E.
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