SOLUTION: Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart.
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart.
Log On
Question 916897: Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart. Find the speed of each car. Show work Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart. Find the speed of each car. Show work
----
1st car DATA:
time = 1.5 hrs ; rate = x mph ; distance = r*t = 1.5x miles
----
2nd car DATA:
time = 1.5 hrs ; rate = x+6 mph ; distance = r*t = 1.5x+9 miles
-----
Equation:
dist + dist = 171 miles
1.5x + 1.5x+9 = 171
3x = 162
x = 54 mph (slower car speed)
x+6 = 60 mph (faster car speed)
--------------
Cheers,
Stan H.