SOLUTION: you run a 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

Algebra ->  Average -> SOLUTION: you run a 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      Log On


   

Question 867506: you run a 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 minutes per mile) and average speed (in miles per hour).
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Pace or speed - why expect any difference?

1%2Ahour%2A60%28min%2Fhour%29%2A%281%2F8%29%28miles%2Fmin%29=7.5 miles

7.5-10=-2.5 miles left uncompleted. Then, completed it at 9 minutes per mile.
2.5%2Amiles%2A9%28min%2Fmile%29=22.5 MINUTES.

This race, "you" went 10 miles in the time of 60%2B22.5=82.5 minutes.
This is 10 miles in 82.5 minutes; same as 8.25 MINUTES per MILE, if you want to call this rate the "pace". It is still another way of expressing SPEED.

%2810%2F82.5%29%2A%28miles%2Fmin%2960%28min%2Fhour%29=%28600%2F82.5%29%28miles%2Fhour%29=7.3 miles per hour.

8.25 MINUTES per MILE;
or
7.3 MILES per HOUR.