Solve the problem.
-A loaded moving truck is traveling $15 \mathrm{mph}$ faster than a freight train. In the time it takes the train to travel 60 miles, the truck travels 90 miles. Find the speed of the truck.
A) $90 \mathrm{mph}$
B) $9 \mathrm{mph}$
C) $15 \mathrm{mph}$
D) $45 \mathrm{mph}$

Question

Quizplus · Accepted Answer

The speed of the truck is found by setting up the equation based on the relationship between distance, speed, and time. Let $x$ be the speed of the train. Then the truck's speed is $x + 15$. Given that the train travels 60 miles and the truck 90 miles in the same time, we can write the equation $\frac{60}{x} = \frac{90}{x+15}$. Solving for $x$ gives the train's speed, and adding 15 to that gives the truck's speed, which is 45 mph.

Solve the Problem 15mph15 \mathrm{mph}15mph Faster Than a Freight Train 90mph90 \mathrm{mph}90mph

Solve the Problem $15 \mathrm{mph}$ Faster Than a Freight Train $90 \mathrm{mph}$