To qualify to run in the 2005 Boston Marathon, a distance of 26.2 miles, an 18-year-old woman had to have completed another marathon in 3 hours and 40 minutes or less. a) To qualify, what must a woman's average speed have been in miles per hour? b) To qualify, what must a woman's average speed have been in meters per second? There are 1609 m in a mile.

Question

Physics

Skyler Mcintosh

19 June, 15:31

To qualify to run in the 2005 Boston Marathon, a distance of 26.2 miles, an 18-year-old woman had to have completed another marathon in 3 hours and 40 minutes or less. a) To qualify, what must a woman's average speed have been in miles per hour? b) To qualify, what must a woman's average speed have been in meters per second? There are 1609 m in a mile.

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Answers (1)

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Wolfgang · Answer 1

7,14545 mph and 3,1936 m/s

Explanation:

The average speed is calculated by dividing the displacement over time, then it is 26,2 miles / (3 2/3 hours), here 3 (2/3) hours is a mixed number, that represents 11/3 hours or 3,66 hours. Then the average speed is 7,14545 mph, now to turn this into meters per second, we notice as mentioned that 1 mile = 1609 meters and 1 hour=3600 seconds. Then 7,14545 miles/hour * (1 hour/3600 seconds) * (1609 meters/1 mile) = 3,1936 m/s