SOLUTION: nathan ran 2.5 miles at a pace of 7 minutes 36 seconds per . if he wishes to complete the entire 5 mile run at an average pace of 7 minutes 24 seconds per mile, what should his pac

Question 1118647: nathan ran 2.5 miles at a pace of 7 minutes 36 seconds per . if he wishes to complete the entire 5 mile run at an average pace of 7 minutes 24 seconds per mile, what should his pace be for the next 2.5 miles?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

For ease of calculations, change all the numbers to fractions.

2.5 miles = 5/2 miles
7 minutes 36 seconds = 7 3/5 minutes = 38/5 minutes
7 minutes 24 seconds = 7 2/5 minutes = 37/5 minutes

Then we want

(2.5 miles at 38/5 minutes per mile) + (2.5 miles at x minutes per mile) = (5 miles at 37/5 minutes per mile):

The rate he needs for the last 2.5 miles is 36/5 = 7 1/5 minutes per mile, or 7 minutes 12 seconds per mile.

Or.... If you understand problems like this, you can just say that for the first half of the race his pace was 12 seconds per mile over the average he wants, so the second half must be at a pace that is 12 seconds per mile under that average.
RELATED QUESTIONS
Write two equations and graph. Eric has already ran 5 miles and is continuing to run at... (answered by stanbon,addingup)

you run a 10 mile race by running at a pace of 8 minutes per mile for 1 hour, and after... (answered by josgarithmetic)

Josh plans to run a 12.2 mile course. For the first 8.4 miles he plans to run at a... (answered by ankor@dixie-net.com)

1. If it takes 5 hours to travel 250 miles, how long will it take to travel 900 miles? (answered by josmiceli)

Dan is preparing for a 10-mile race. He will run the first 5 miles at an average speed of (answered by mananth)

You run 10 mile race by running at a pace of 8 minutesbper mile for 1 hour, and after... (answered by ankor@dixie-net.com)

If I ran at a speed of 2 miles an hour and ran for 5 1/2 minutes, how far did I run? (answered by rfer)

Joy can run an average speed of 1km every 5 minutes. Walking, she averages 1km every 12... (answered by ankor@dixie-net.com)

Beth had planned to run an average of 6 miles per hour in a race. She had a very good... (answered by mananth)