grandh01 wrote:Due to construction, the speed limit
along an 8-mile section of highway is
reduced from 55 miles per hour to 35
miles per hour. Approximately how
many minutes more will it take to
travel along this section of highway at
the new speed limit than it would have
taken at the old speed limit ?
(A) 5
(B) 8
(C) 10
(D) 15
(E) 24
Slower rate : faster rate = 35/55 = 7/11.
Rate and time are RECIPROCALS.
Since the slower rate is 7/11 of the faster rate, the time at the slower rate will be 11/7 of the time at the faster rate.
Thus, the time at the slower rate will be 4/7 LONGER than the time at the faster rate:
4/7 * 8/55 ≈ 1/2 * 1/6 ≈ 1/12.
Thus, the trip will take approximately 1/12 of an hour longer -- in other words, 5 more minutes -- at the slower rate.
The correct answer is
A.
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