A passenger train travels 392 miles in the same time that it takes freight train to travel 322 miles. If the passenger train travel 20 miles per hour faster than the freight train.Find the rate of each train.

Answer 1

392mi/t = 322/t + 20.
392 = 322 + 20t.
20t = 392 - 322 = 70.
t = 3.5 h.

r = 392mi/3.5h = 112 mi/h = Speed of the
P. train.

r = 322mi/3.5h = 92 mi/h = Speed of the
F. train.