SOLUTION: Dan is preparing for a 10-mile race. He will run the first 5 miles at an average speed of 6 miles per hour, the next 3 miles at an average speed of 8 miles per hour, and the final

Algebra.Com
Question 319981: Dan is preparing for a 10-mile race. He will run the first 5 miles at an average speed of 6 miles per hour, the next 3 miles at an average speed of 8 miles per hour, and the final 2 miles at an average speed of 10 miles per hour. How many hours, rounded to the nearest hundredth of an hour, will it take Dan to run the race if he follows his plan?
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Dan is preparing for a 10-mile race.
first 5 miles average speed of 6 miles per hour,
next 3 miles at an average speed of 8 miles per hour,
final 2 miles at an average speed of 10 miles per hour.
..
first leg time = 5/6 hours
second leg time = 3/8 hours
third leg time = 2/10 hours
..
total time = 5/6+3/8+2/10
LCM = 480
5*80 + 3*60+2*48 / 480
400+180+96 / 480
676/480
= 1.41 hours

RELATED QUESTIONS

Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle... (answered by josgarithmetic,ikleyn,timofer,greenestamps)
you run a 10 mile race by running at a pace of 8 minutes per mile for 1 hour, and after... (answered by josgarithmetic)
Marcos is training for a bike race that will take place next month. On Saturday he rode... (answered by stanbon)
Renee and Betsy decide to have a 10 mile race. Renee can run an average speed of 12 miles (answered by ankor@dixie-net.com,richwmiller)
Beth had planned to run an average of 6 miles per hour in a race. She had a very good... (answered by mananth)
Kerry is training for a bike race that will take place next month. On saturday she rode... (answered by josgarithmetic)
Kathy and Donna Ran a three-mile race. Kathy jogged the first two miles at 6 miles per... (answered by richwmiller)
Jana ran the first 3 1/2 of a 5-mile race in 1/3. What is her average rate in miles per... (answered by josmiceli)