SOLUTION: A motorcycle averages a rate of speed 10 mph faster than a car. If the car can travel 90 miles in the same time the motorcycle travels 105 miles, find the rate of each vehicle.

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Question 869594: A motorcycle averages a rate of speed 10 mph faster than a car. If the car can travel 90 miles in the same time the motorcycle travels 105 miles, find the rate of each vehicle.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A motorcycle averages a rate of speed 10 mph faster than a car. If the car can travel 90 miles in the same time the motorcycle travels 105 miles, find the rate of each vehicle.
***
let x=speed of car
x+10=speed of motorcycle
travel time=distance/speed
...
90%2Fx=105%2F%28x%2B10%29
105x=90x+900
15x=900
x=60
x+10=70
...
speed of car=60 mph
speed of motorcycle=70 mph