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?

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

whitneytr12 whitneytr12 · Answer 2 · 2021-09-21T17:47:51+02:00

To qualify to run in the 2005 Boston marathon, the woman must have an average speed of 7.15 mph to run a distance of 26.2 miles in 3 hours and 40 minutes or less.

The average speed of the woman can be calculated as follows:

[tex] \overline{S} = \frac{d_{t}}{t_{t}} [/tex]

Where:

[tex] \overline{S} [/tex]: is the average speed

[tex]d_{t} [/tex]: is the total distance = 26.2 miles

[tex] t_{t}[/tex]: is the total time = 3 h + 40 min

Hence, the average speed is:

[tex] \overline{S} = \frac{d_{t}}{t_{t}} = \frac{26.2 mi}{3 h + 40min*\frac{1 h}{60 min}} = 7.15 \:mph [/tex]

Therefore, the woman must have an average speed of 7.15 miles per hour.

You can find more about average speed here:

https://brainly.com/question/19555148?referrer=searchResults
https://brainly.com/question/8819317?referrer=searchResults

I hope it helps you!