SOLUTION: Two skatere are racing toward the finish line of a race. The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second. The second skater is traveling a

Algebra ->  Linear-equations -> SOLUTION: Two skatere are racing toward the finish line of a race. The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second. The second skater is traveling a      Log On


   

Question 998446: Two skatere are racing toward the finish line of a race. The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second. The second skater is traveling at a rate of 14 meters per second. How long will it take the second skater to pass the second skater?
Y axis meter
X axis seconds per meter
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two skaters are racing toward the finish line of a race.
The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second.
The second skater is traveling at a rate of 14 meters per second.
How long will it take the second skater to pass the second skater?
Y axis meter
X axis seconds per meter
:
The first skater equation
y = 12x + 40 (red)
the second skater equation
y = 14x (green)
:
Graphically
+graph%28+300%2C+200%2C+-6%2C+30%2C+-100%2C+400%2C+12x%2B40%2C+14x%29+
point of intersection is time and distance that the 2nd skater overtakes the 1st
:
Difficult to see on the graph but we can solve it y=y, therefore
14x = 12x + 40
14x - 12x = 40
2x = 40
x = 40/2
x = 20 seconds for skater 2 to pass skater 1