Question
tework
Two cars start out together from the same place. They travel in opposite directions, with one of them traveling 5 miles per hour faster than the other. After three hours, they are 423 miles apart. How fast is ea
car traveling?
Two cars start out together from the same place. They travel in opposite directions, with one of them traveling 5 miles per hour faster than the other. After three hours, they are 423 miles apart. How fast is ea
car traveling?
Ask by Wade Reese. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slower car is traveling at 68 mph, and the faster car is traveling at 73 mph.
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Extra Insights
Let’s break down the problem! If we let the speed of the slower car be
miles per hour, then the faster car’s speed would be
miles per hour. After three hours, the distance traveled by the slower car is
miles and by the faster car is
miles. The equation representing their total distance apart would be:
Simplifying this gives:
So the slower car is traveling at 68 miles per hour, and the faster car is traveling at 73 miles per hour (since 68 + 5 = 73).
To summarize: the slower car’s speed is 68 mph, and the faster car’s speed is 73 mph!