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.

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.
RELATED QUESTIONS
two cars pass on straight highway while traveling in opposite directions. one car is... (answered by addingup,ikleyn,MathTherapy)

two cars pass on a straight highway while traveling in opposite directions. One car is... (answered by ewatrrr)

Two cars pass on a straight highway while traveling in opposite directions. One car is... (answered by solver91311)

Two cars pass on a straight highway while traveling in opposite directions. One car is... (answered by Cromlix)

Two cars pass on a highway while traveling in oppisite directions.One car is traveling 6 (answered by mananth)

Two cars pass each other along a straight highway and continue traveling in opposite... (answered by TimothyLamb)

two cars pass on the highway going in opposite directions. one car is going 10 mph faster (answered by sudhanshu_kmr)

Two cars leave the same location at the same time traveling in opposite directions. One... (answered by ewatrrr)

at 10:30am two cars pass each other as they travel in opposite directions along a... (answered by macston)