SOLUTION: You run 10 mile race by running at a pace of 8 minutesbper mile for 1 hour, and after that at a pace of9 minutes per mile.Define average peace, find it (to the nearest second ) for

Algebra ->  Average -> SOLUTION: You run 10 mile race by running at a pace of 8 minutesbper mile for 1 hour, and after that at a pace of9 minutes per mile.Define average peace, find it (to the nearest second ) for      Log On


   

Question 741380: You run 10 mile race by running at a pace of 8 minutesbper mile for 1 hour, and after that at a pace of9 minutes per mile.Define average peace, find it (to the nearest second ) for the 10 mile race, and discuss the connection between average pace (in minute per mile) and average speed (in mile per hour).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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You run 10 mile race by running at a pace of 8 minutes per mile for 1 hour,
and after that at a pace of 9 minutes per mile.
Define average pace, find it (to the nearest second) for the 10 mile race,
and discuss the connection between average pace (in minute per mile) and average speed (in mile per hour).
:
Find how far you will run in 1 hr at 8 min/mile pace: 60%2F8 = 7.5 miles
Then 2.5 mi ran at 9 min/mile; 2.5 * 9 = 22.5 min
:
He ran 10 miles in 1 hr 22.5 min or in 82.5 min
Find the average pace for 10 miles: 82.5%2F10 = 8.25 min/mile
:
In terms of average speed in mph:
Change time to hrs: 82.5/60 = 1.375 hrs
Speed = dist/time: 10%2F1.375 = 7.27 mph