Question

When running a half marathon (13.1 miles), it took Kevin 8 minutes to run from mile marker 1 to mile marker 2, and 18 minutes to run from mile marker 2 to mile marker 4. How long did it take Kevin to run from mile marker 1 to mile marker 4? minutes What was Kevin's average speed as he ran from mile marker 1 to mile marker 4? miles per minute 71 minutes after starting the race, Kevin passed mile marker 9. To complete the race in 112 minutes, what must Kevin's average speed be as he travels from mile marker 9 to the finish line?

Answer 1

Answer:

It took Kevin 26 minutes to run from markers 1 to 4

His average speed from mile markers 1 to 4 is 0.154 miles/minute

Kevin must run by average speed 0.1 miles/minute to finish the race

Explanation:

Lets explain how to solve the problem

A half marathon 13.1 miles

Kevin took 8 minutes to run from mile marker 1 to mile marker 2 and

18 minutes to run from mile marker 2 to mile marker 4

→ He took 8 minutes and 18 minutes to run from marker 1 to marker 4

→ The total time of the first 4 marker = 8 + 18 = 26 minutes

It took Kevin 26 minutes to run from markers 1 to 4

Average speed is total distance divided by total time

The average speed of Kevin as he ran from mile marker 1 to mile

marker 4 is the 4 miles divides by 26 minutes

→ Average speed = 4 ÷ 26 = $\frac{2}{13}$ = 0.154 miles/minute

His average speed from mile markers 1 to 4 is 0.154 miles/minute

It took Kevin 71 minutes to pass mile marker 9

Kevin need to complete the race in 112 minutes, then what must

Kevin's average speed be as he travels from mile marker 9 to the

finish line?

The total distance of the race is 13.1 miles, he ran 9 miles

→ The remaining distance = 13.1 - 9 = 4.1 miles

He must run 4.1 miles to complete the race

The total time is 112 minutes, he used 71 minutes to run the first 9 miles

→ The remaining time = 112 - 71 = 41 minutes

He must finish the 4.1 miles in 41 minutes

→ His average speed for the last part of the race = 4.1 ÷ 41 = 0.1 mi/min

Kevin must run by average speed 0.1 miles/minute to finish the race

Answer 2

Answer:

26 mins

0.1154 miles/min

0.1 miles/min

Explanation:

How long did it take Kevin to run from mile marker 1 to mile marker 4?

Kevin took 8 minutes to run from mile marker 1 to mile marker 2, and 18 minutes to run from mile marker 2 to mile marker 4.

Total = (8+18)=26 minutes

Answer(1): 26 minutes

What was Kevin's average speed as he ran from mile marker 1 to mile marker 4?

Distance from mile marker 1 to mile marker 4= (4-1)=3 miles. It took him 26 minute from mile marker 1 to mile marker 4.

Average speed= Total distance / total time= 3 / 26= 1/9=0.1154 miles per minute

Answer(2): 0.1154 miles per minute

71 minutes after starting the race, Kevin passed mile marker 9. To complete the race in 112 minutes, what must Kevin's average speed be as he travels from mile marker 9 to the finish line?

Total time 112 minute and already used 71 minutes.  

Time left=41 minutes

Total distance 13.1 and already traveled 9 miles

Total distance left = 4.1 miles

Average speed = Total distance left / Time left = 4.1 / 41 = 0.1 miles per minute

Answer(3): 0.1 miles per minute