SOLUTION: Bobby and Rick are in a 10-lap race on a one-mile track. Bobby, averaging 90mph, has completed two laps just as Rick is getting his car onto the track. What speed does Rick have t

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Bobby and Rick are in a 10-lap race on a one-mile track. Bobby, averaging 90mph, has completed two laps just as Rick is getting his car onto the track. What speed does Rick have t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 33096: Bobby and Rick are in a 10-lap race on a one-mile track. Bobby, averaging 90mph, has completed two laps just as Rick is getting his car onto the track. What speed does Rick have to average to be even with Bobby at the end of the tenth lap?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Bobby has 8 laps to travel: 8 miles going at 90mph. How long will he take to finish?

speed = distance/time
90 = 8/t
90t = 8
t = 8/90

No point working this out yet... it is a recurring decimal, so do not round it. Leave it as a fraction.

So, Rick comes onto the track. He has 10 laps to do ie 10 miles in the same time, to finish equal with Bobby.

So, speed = distance/time
speed = 10/(8/90)
speed = 900/8
speed = 112.5mph

jon.