Question

A train travels at a constant speed for one hour and 40 minutes. During this time the train travels 95 miles. If the train continues at the same Constant Speed, which equation models the number of miles,m,It Will travel in t hours?

A)m=5/3t
B)m=3/5t
C)m=31t
D)m=57t

Answer 1

m = 57t, where the units of measurement of 57 are mph and that of t is hr.

Explanation:

Use the given info to find the speed of the train, which is a unit rate:

95 miles 95 mi

------------------ = ------------- = 0.95 mile/min

1 hr 40 min 100 min

Better yet, use hours, not minutes.

95 miles 95 mi

------------------ = ------------- = 57 mph

1 hr 40 min 1 2/3 hr

Then m(t) = (rate)(time) = (57 mph)t This corresponds to Answer D.