Question

Suppose you are choosing between two roads. The first route is 40 miles at 25 mph, and the second road is 65 miles at 55 mph. Which route would get you there faster, and in what amount of time?

The second route, in 1.6 hours
B. The first route, in 1.6 hours
C. The first route, in 1.18 hours
D. The second route, in 1.18 hours

Answer 1

D. The second route, in 1.18 hours

Explanation:

The appropriate relation is ...

time = distance/speed

The time required on the first route is ...

time1 = (40 mi)/(25 mi/h) = 40/25 h = 1.6 h

The time required on the second route is ...

time2 = (65 mi)/(55 mi/h) = 65/55 h = 1 2/11 h ≈ 1.18 h

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The second route requires a shorter time, so will get you there faster. The second route will get you there in 1.18 hours.