SOLUTION: 3.[4pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 75 kilometers, the skater had gone 45 kilometers. Find t

Algebra ->  Linear-equations -> SOLUTION: 3.[4pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 75 kilometers, the skater had gone 45 kilometers. Find t      Log On


   

Question 1147224: 3.[4pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 75 kilometers, the skater had gone 45 kilometers. Find the speed of the skater.
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the speed of the skater, in km/h.


Then the speed of the cyclist is  (x+12) km/h.


The problem says


    75%2F%28x%2B12%29 = 45%2Fx


It is your "time" equation.


To solve it, cross-multiply.


You will get a simple linear equation, which (I hope) you can easily solve on your own.