Tom Quig traveled 220 miles east of St. Louis. For most of the trip he averaged $60 \mathrm{mph}$, but for one period of time he was slowed to $10 \mathrm{mph}$ due to a major accident. If the total travel time was 7 hours, for how many miles did he drive at the reduced speed?
A) 35 miles
B) 50 miles
C) 60 miles
D) 40 miles

Question

Quizplus · Accepted Answer

Let $x$ be the distance traveled at $10 \mathrm{mph}$. Then, the distance traveled at $60 \mathrm{mph}$ is $220 - x$ miles. The time spent traveling at $10 \mathrm{mph}$ is $\frac{x}{10}$ hours, and the time spent traveling at $60 \mathrm{mph}$ is $\frac{220 - x}{60}$ hours. The total time is 7 hours, so $\frac{x}{10} + \frac{220 - x}{60} = 7$. Solving this equation for $x$ gives $x = 40$ miles.

Tom Quig Traveled 220 Miles East of St 60mph60 \mathrm{mph}60mph , but for One Period of Time He Was Slowed

Tom Quig Traveled 220 Miles East of St $60 \mathrm{mph}$ , but for One Period of Time He Was Slowed