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A high school track athlete sprints 100 yards in 15 seconds. If there are 5280 feet in a mile and 3600 seconds in an hour, determine the runner's speed in miles per hour. Round to the nearest tenth.

Answer :

Final answer:

We can determine the runner's speed in miles per hour by first converting the given units into the units we desire. After the conversions, we calculate the speed as distance divided by time. The result comes to 13.6 miles per hour.

Explanation:

First off, we need to convert the athlete's speed from yards per second to miles per hour. We know the athlete sprints 100 yards in 15 seconds. To convert the distance from yards to miles, we use the conversion factor of 1 mile = 1,760 yards. Therefore, the distance sprinted in miles is 100/1760 = 0.057 miles.

When it comes to time, the given 15 seconds can be converted to hours: 15 seconds = 15/3600 hours = 0.004167 hours. We calculate the speed as distance divided by time, which gives us 0.0568 miles/0.004167 hours = 13.6 miles per hour. As we need to round to the nearest tenth, we find the runner's speed to be 13.6 miles per hour.

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Rewritten by : Jeany

3 ft= 1yd

100*3 feet= 100*1yd

300 feet=100yd

Therefore, the athlete ran 300 feet in 15 seconds.

You can simplify it to,

20 ft/sec

Since 300 divided by 15 equals 20 so 20 ft/sec

Hope this helps, have a good day. c;