Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.

2.4 hours

Step-by-step explanation:

Distance = rate * time

One train travels at a rate of 70 mph for t hours. This means that the distance it travels is 70t.

The other train travels at a rate of 90 mph for t hours. This means that the distance it travels is 90t.

The total distance they cover together is equal to 384 miles; therefore,

70t + 90t = 384 and

160t = 384 so

t = 2.4 hours