Solve the problem.
-Tom Quig traveled 300 miles east of St. Louis. For most of the trip he averaged $70 \mathrm{mph}$, but for one period of time he was slowed to $10 \mathrm{mph}$ due to a major aocident. If the total time of travel was 6 hours, how many miles did he drive at the reduced speed?
A) 30 miles
B) 20 miles
C) 15 miles
D) 40 miles

Question

Quizplus · Accepted Answer

Let $x$ be the distance traveled at $10 \mathrm{mph}$. Then, the distance traveled at $70 \mathrm{mph}$ is $300 - x$ miles. The time spent traveling at $10 \mathrm{mph}$ is $\frac{x}{10}$ hours, and the time spent traveling at $70 \mathrm{mph}$ is $\frac{300 - x}{70}$ hours. The total time is 6 hours, so we have the equation $\frac{x}{10} + \frac{300 - x}{70} = 6$. Solving this equation for $x$ gives $x = 20$ miles.

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