SOLUTION: A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. Find the speed o

Algebra ->  Equations -> SOLUTION: A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. Find the speed o      Log On


   

Question 1033670: A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. Find the speed of the skater.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=speed of skater, in kilometers per hour;
x+9=speed of the cyclist; thus:
45/(x+9)=30/(x)
45x=30x+270
15x=270
x=18
x+9=27.
Let's check:
45/27=1.6666666
30/18=1.6666666 !!!!!!!!