SOLUTION: two cyclist are 25 mi apart and traveling toward each other. One cyclist is traveling at 2/3 the rate of the other.They pass in 2h.Find rate of each cyclist.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cyclist are 25 mi apart and traveling toward each other. One cyclist is traveling at 2/3 the rate of the other.They pass in 2h.Find rate of each cyclist.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 890540: two cyclist are 25 mi apart and traveling toward each other.
One cyclist is traveling at 2/3 the rate of the other.They pass in 2h.Find rate
of each cyclist.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
two cyclist are 25 mi apart and traveling toward each other.
One cyclist is traveling at 2/3 the rate of the other.
They pass in 2h.Find rate of each cyclist.
:
Let s = the speed of the faster cyclist
then
2%2F3s = the speed of the slower
:
Since they are going towards each other, we can solve this by adding their speeds
1s + 2%2F3s = 5%2F3s, the combined speed of the two bikes
:
dist = time * speed
:
2*5%2F3s = 25
10%2F3s = 25
multiply both sides by 3
10s = 75
s = 75/10
s = 7.5 mph, speed of the faster
then
2%2F3*7.5 = 5 mph the speed of the slower
:
:
Check this find the distance each traveled
2*7.5 = 15 mi
2 * 5 = 10 mi
----------------
total dist: 25 mi