Solve the problem.
-During a hurricane evacuation from the east coast of Georgia, a family traveled 230 miles west. For part of the trip, they averaged 50 mph, but as the congestion got bad, they had to slow to 10 mph. If the total time of travel
Was 7 hours, how many miles did they drive at the reduced speed?
A)40 miles
B)30 miles
C)35 miles
D)25 miles

Question

Quizplus · Accepted Answer

Let $x$ be the distance traveled at 50 mph and $y$ be the distance traveled at 10 mph. The total distance is $x + y = 230$ miles. The time spent traveling at each speed is $x/50$ and $y/10$, respectively, and their sum is 7 hours. Thus, we have two equations:1. $x + y = 230$2. $\frac{x}{50} + \frac{y}{10} = 7$Multiplying the second equation by 50 gives $x + 5y = 350$. Subtracting the first equation from this gives $4y = 120$, so $y = 30$. Therefore, they drove 30 miles at the reduced speed.

Solve the Problem. -During a Hurricane Evacuation from the East Coast of Georgia