When running a half marathon (13.1 miles), it took Grant 7 minutes and 45 second

Question

When running a half marathon (13.1 miles), it took Grant 7 minutes and 45 seconds to run from mile marker 1 to mile marker 2, and 19 minutes and 15 seconds to run from mile marker 2 to mile marker 4 a. As Grant's distance (in miles) from the starting line increased from 1 to 4, what was the change in the number of minutes he had been running since starting the race? minute(s) Preview b. As Grant's distance from the starting line increased from 1 to 4 miles, what average speed (in miles per minute) did he run? t miles per minute Previevw c. 69 minutes after starting the race Grant passed mile marker 9. What average speed in miles per minute will Grant need to run, from mile marker 9 to the end of the race, to meet his goal to complete the 13.1 mile half-marathon in 110 minutes? miles per minutePreview

Explanation / Answer

Ans a

Time taken from 1 mile marker to 2 mile marker= 7 minutes and 45 seconds

Time taken from 2 mile marker to 4 mile marker= 19 minutes and 15 seconds

total traveled distance 4-1=3 miles

total time =73 minutes

so average speed =3mile/27minute=1/9 mile/minute

So we can assume for 1 mile also it was speed ,So time taken for first mile=distance/speed =1/(1/9)=9 minute

So time since race upto 4th mile marker=27+9 =36 minutes.

Ans b

from 1 to 4 mile average spped=total distance / total time

=3/27=1/9 miles /minute

Ans 3  

Total race =13.1 Completed race =9 ( with 69 minutes)

Remaining race=4.1 mile

Total time scheduled for 13.1 mile =110 minutes

So distance 4.1 mile has to be finished in time=110-69=41 minutes

So average spped for remaining distance=distance /time = 4.1 mile /41 minute =0.1 mile/minute

  

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