steve leaves school by moped for spring vacation, 40 minutes later his roommate, Frank, notice that steve forgot to take his camera. So, Frank decides to try to catch up with Steve by car. If Steve's average speed is 25 mph and Frank averages 45 mph, how long does it take Frank to overtake Steve?

Question

Mathematics

Jaylee Braun

14 April, 15:00

steve leaves school by moped for spring vacation, 40 minutes later his roommate, Frank, notice that steve forgot to take his camera. So, Frank decides to try to catch up with Steve by car. If Steve's average speed is 25 mph and Frank averages 45 mph, how long does it take Frank to overtake Steve?

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Answers (1)

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Phoenix Avila · Answer 1

50 minutes

Step-by-step explanation:

Steve has a head start of ...

(2/3 h) (25 mi/h) = 50/3 mi

Frank's closing speed is 45 - 25 = 20 mi/h, so can make up that distance in ...

(50/3 mi) / (20 mi/h) = 50/60 h = 50 minutes

It takes Frank 50 minutes to overtake Steve.