High School

Felipe sets off from Phoenix for Los Angeles, driving at 60 mph. Thirty minutes later, an emergency vehicle takes off after Felipe, on the same route, at an average speed of 80 mph. How long will it take the emergency vehicle to overtake Felipe?

Answer :

Final answer:

The emergency vehicle will take 1.5 hours to overtake Felipe, moving at a relative speed of 20 mph, as he is 30 miles ahead.

Explanation:

You asked how long it will take the emergency vehicle to overtake Felipe. This question is related to relative speed and can be calculated using the distance-rate-time formula. Felipe left first and travelled for 30 minutes at 60 mph, so he is 30 miles ahead when the emergency vehicle starts. The average speed of the emergency vehicle is 80 mph, and Felipe continues at 60 mph, thus the relative speed of the emergency vehicle to Felipe is 80-60 = 20 mph. To calculate the time the emergency vehicle takes to overtake Felipe, you divide the distance Felipe is ahead (30 miles) by the relative speed of the emergency vehicle (20 mph), so 30/20 = 1.5 hours.

Learn more about Relative Speed here:

https://brainly.com/question/14362959

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