Solving a distance, rate, time problem using a linear equation

Question

Two trains leave the station at the same time, one heading east and the other west. The westbound train travels 20 miles per hour slower than the eastbound train. If the two trains are 750 miles apart after 5 hours, what is the rate of the westbound train? Do not do any rounding.

Answer 1

750 = 5T + 5(T-20)

10T = 750 +100 = 850

T = 850/10 = 85 mph for the faster train

T-20 = 65 mph for the slower train

5(85+65) = 5(150) = 750 miles

distance = rate of speed times time