Question

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. to qualify, what must a woman's average speed have been in miles per hour?

Answer 1

Answer:

The woman's average speed must have been 7.14miles/hour. This is the ratio of the total distance she covered/traveled to the total time it took her to cover that distance.

Explanation:

Here is the calculation,

Total distance = 26.2miles

Total time = 3hours and 40min.

40min = (40min/60min) × 1hour = 0.67hour. This is basically converting time in mins to time in hours.

Therefore total time taken = 3hours and 40mins = 3 hours + 0.67 hours = 3.67hours

Average speed = Total distance/Total time taken

Average speed = 26.2miles/3.67 hours = 7.14 miles/hour

Answer 2

3 hours and 40 minutes is equivalent to 3.667 hours. If a woman must have run another marathon (of 26.2 miles) within that time, then her minimum average speed in mph can be calculated by dividing the distance by time:
26.2 miles / 3.667 hours = 7.145 miles per hour