Acer86 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

Original time in minutes = \(\frac{d}{r} * 60 = \frac{8}{55} * 60 = \frac{8}{11} * 12 ≈ 9\) minutes.

\(\frac{new-speed}{original-speed} = \frac{35}{55} = \frac{7}{11}\)

Since the rate and time have a reciprocal relationship:

\(\frac{new-time}{original-time} = \frac{11}{7} ≈ \frac{3}{2}\)

The resulting time ratio indicates that the new time is about 50% greater than the original time.

Thus:

Time increase in minutes ≈ 50% of 9 = 4.5.

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