SOLUTION: Two bicyclists are racing toward the finish line of a race. The first bicyclist has a 105 meter lead and is pedaling 12 meters per second. The second bicyclist is pedaling 15 mete

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Two bicyclists are racing toward the finish line of a race. The first bicyclist has a 105 meter lead and is pedaling 12 meters per second. The second bicyclist is pedaling 15 mete      Log On


   

Question 873486: Two bicyclists are racing toward the finish line of a race. The first bicyclist has a 105 meter lead and is pedaling 12 meters per second. The second bicyclist is pedaling 15 meters per second. Graph the system of linear equations. How long will it take for the second bicyclist to pass the first? What distance does the second bicyclist travel?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two bicyclists are racing toward the finish line of a race.
The first bicyclist has a 105 meter lead and is pedaling 12 meters per second.
The second bicyclist is pedaling 15 meters per second.
Graph the system of linear equations.
How long will it take for the second bicyclist to pass the first?
x = travel time, y = dist
first cyclist; y = 12x+105
Second cyclist; y = 15x
Graphically
+graph%28+300%2C+200%2C+-10%2C+60%2C+-100%2C+800%2C+12x%2B105%2C+15x%29+
Looks like the 2nd passes the 1st in 35 seconds
:
What distance does the second bicyclist travel?
15*35 = 525 ft, looks like that on the graph also