SOLUTION: a truck can travel 120 miles in the same time that it takes a car to travel 135 miles. If the trucks rate is 5 miles per hour slower than the cars,find the average rate for each.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a truck can travel 120 miles in the same time that it takes a car to travel 135 miles. If the trucks rate is 5 miles per hour slower than the cars,find the average rate for each.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1009044: a truck can travel 120 miles in the same time that it takes a car to travel 135 miles. If the trucks rate is 5 miles per hour slower than the cars,find the average rate for each.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Time=distance%2Frate
.
Since car and truck travel the same time, and letting R=rate of truck:
120%2FR=135%2F%28R%2B5%29
%28120%29%28R%2B5%29=135R
120R%2B600=135R
600=15R
40=R
.
ANSWER 1: Average rate for the truck is 40 mph.
.
R+5=40+5=45
.
ANSWER 2: Average rate for the car is 45 mph.
.