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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