Question

A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours,

How long would it take for that train to cover 100 miles?

Answer 1

1 2/3 hrs

Explanation:

Write and solve an equation of ratios, as follows:

Distance Time

150 mi 2.5 hrs

-------------- = ----------------

100 mi x

Cross multiplying, we get (150 mi)x = 250 mi-hrs.

Dividing both sides by 150 mi, we get:

250 mi-hrs

x = ------------------ = 1 2/3 hrs

150 mi

The train could cover 100 miles in 1 2/3 hours.

Answer 2

1.67 hours (rounded to the nearest hundredth)

Explanation:

100 miles: 150 *2/3

2.5*2/3=1.67