Atrain 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

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

Step-by-step 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.

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