Asked by Leandra Crowley on Sep 23, 2024

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Two cars start at the same point and travel in the same direction at average speeds of 65 miles per hour and 40 miles per hour. How much time (in hours) must elapse before the two cars are 87.5 miles apart?

A) 3.5 hours
B) 3.49 hours
C) 1.35 hours
D) 0.830.830.83 hour
E) 2.192.192.19 hours

Average Speeds

The total distance traveled divided by the total time taken; often used in motion problems.

Miles Apart

A measurement of distance between two locations in miles.

  • Solve problems involving distance, rate, and time.
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Verified Answer

LS
Lucas Silvestreabout 20 hours ago
Final Answer :
A
Explanation :
The relative speed between the two cars is 65−40=2565 - 40 = 256540=25 miles per hour. To find the time it takes for them to be 87.5 miles apart, divide the distance by the relative speed: 87.5÷25=3.587.5 \div 25 = 3.587.5÷25=3.5 hours.