Solve the problem.
-A loaded moving truck is traveling $20 \mathrm{mph}$ faster than a freight train. In the time it takes the train to travel 120 miles, the truck travels 200 miles. Find the speed of the truck.
A) $20 \mathrm{mph}$
B) $100 \mathrm{mph}$
C) $50 \mathrm{mph}$
D) $10 \mathrm{mph}$

Question

Quizplus · Accepted Answer

The speed of the truck is 50 mph. This is found by setting up the equation based on distance = speed × time. Let the speed of the train be $x$ mph. Then the speed of the truck is $x + 20$ mph. Since the train travels 120 miles and the truck 200 miles in the same time, we have $120/x = 200/(x + 20)$. Solving this equation for $x$ gives the train's speed as 30 mph, so the truck's speed is $30 + 20 = 50$ mph.

Solve the Problem 20mph20 \mathrm{mph}20mph Faster Than a Freight Train 20mph20 \mathrm{mph}20mph

Solve the Problem $20 \mathrm{mph}$ Faster Than a Freight Train $20 \mathrm{mph}$