SOLUTION: " The car travel toward each other from points 500 kilometers apart. The two cars meet in 4 hours. What is the average speed of each car if one travels 15 kilometers per hour faste

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Question 231106: " The car travel toward each other from points 500 kilometers apart. The two cars meet in 4 hours. What is the average speed of each car if one travels 15 kilometers per hour faster than the other? "
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Two cars travel toward each other from points 500 kilometers apart.
The two cars meet in 4 hours.
What is the average speed of each car if one travels 15 kilometers per hour faster than the other?
:
Let s = speed of the slower car
then
(s+15) = speed of the faster car
:
Write a distance equation, (both cars travel for 4 hrs) dist = time * speed:
:
The sum of the distances = 500 km
4s + 4(s+15) = 500
:
4s + 4s + 60 = 500
:
8s = 500 - 60
:
8s = 440
s =
s = 55 km/hr is the slower car
then, obviously
55 + 15 = 70 km/hr is the faster car
;
:
Check solution by finding the total dist
4(55) = 220
4(70) = 280
------------
total = 500

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