SOLUTION: Two cars start from towns 400 mi apart and travel toward each other. They meet after 4 hrs. Find the speed of each car if one travels 20mph faster than the other.

Question 125802: Two cars start from towns 400 mi apart and travel toward each other. They meet after 4 hrs. Find the speed of each car if one travels 20mph faster than the other.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two cars start from towns 400 mi apart and travel toward each other. They meet after 4 hrs. Find the speed of each car if one travels 20mph faster than the other.
:
Let s = speed of the slower car
then
(s+20) = speed of the faster
:
When they meet, we know they will have traveled a total of 400 mi.
:
Make a distance equation: Distance = time * speed
:
Slow car dist + fast car dist = 400 miles
4s + 4(s+20) = 400
:
4s + 4s + 80 = 400
:
8x = 400 - 80
s =
s = 40 mph is the slow car
and
60 mph is the fast car
:
:
We can check our solution by finding the total distance:
4(40) + 4(60) = 400
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