An express train travels 464 mi in the same amount of time it takes a freight train to travel 240 mi. The rate of the express train is 28 mph faster than that of the freight train. Find the rate of the express train.
A) 58 mph
B) 66 mph
C) 64 mph
D) 65 mph
E) 59 mph

Question

Quizplus · Accepted Answer

The time it takes for both trains to travel their respective distances is the same, so we can set up the equation: 464/(r+28) = 240/r, where r is the rate of the freight train. Solving for r gives us the freight train's speed, and adding 28 to that gives us the express train's speed, which is 58 mph.

An Express Train Travels 464 Mi in the Same Amount