SOLUTION: An automobile car traveled 200 miles and at same time a track can travel 150 miles .If the automobile travels at the average speed of 15 miles per hour faster than the track then .
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Question 628312: An automobile car traveled 200 miles and at same time a track can travel 150 miles .If the automobile travels at the average speed of 15 miles per hour faster than the track then . Find their average rate? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! An automobile car traveled 200 miles and at same time
a truck can travel 150 miles .
If the automobile travels at the average speed of 15 miles per hour faster
than the truck then .
Find their average rate?
:
Let s = speed of the truck
then
(s+15) = speed of the car
;
Write a time equation: time = dist/speed
:
truck time = car time =
Cross multiply
150(s+15) = 200s
150s = 2250 = 200s
2250 = 200s - 150s
2250 = 50s
s = 2250/50
s = 45 mph is the speed of the truck
then
45 + 15 = 60 mph is the speed of the car
:
:
Confirm this by finding the time of each, they should be equal
150/45 = 3.33 hrs
200/60 = 3.33 hrs
