SOLUTION: you are meeting a friend to ride a bike around a track. Your friend has already completed 2 laps (1/4 mile each lap) at 20 mi/hr and wants to do 20 laps total. If you want to do 20

Question 461575: you are meeting a friend to ride a bike around a track. Your friend has already completed 2 laps (1/4 mile each lap) at 20 mi/hr and wants to do 20 laps total. If you want to do 20 laps also and finish at the exact same time, how fast do you have to ride?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
you are meeting a friend to ride a bike around a track. Your friend has already completed 2 laps (1/4 mile each lap) at 20 mi/hr and wants to do 20 laps total. If you want to do 20 laps also and finish at the exact same time, how fast do you have to ride.
..
let x=speed (mph) you have to ride to finish at the exact same time as your friend
Your speed=distance/travel time
distance=1/4*20=20/4=5 mi
Travel time=time it takes friend to complete 18 laps at 20 mph
Friend's distance=18/4=4.5 mi
Friend's travel time=distance/speed=4.5/20=.225 hrs
your speed=5/.225=22.22 mph
ans:
Speed you have to ride to finish at the exact same time as your friend=22.22 mph
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