Solve the problem.
-The speed of a freight train is 23 mph slower than that of a passenger train. The freight train travels 350 mi in the same time it takes the passenger train to travel 440 mi. Find the speed of the passenger train.
A) 225 mph
B) 5 mph
C) 3 mph
D) 112 mph

Question

Quizplus · Accepted Answer

The time it takes for both trains to complete their respective distances is the same. Let the speed of the passenger train be $x$ mph. Then, the speed of the freight train is $x - 23$ mph. Using the formula $time = \frac{distance}{speed}$, we set up the equation $\frac{350}{x - 23} = \frac{440}{x}$. Solving for $x$, we find the speed of the passenger train to be 112 mph.

Solve the Problem. -The Speed of a Freight Train Is 23 Mph Slower