SOLUTION: Two cars leave a city on the same road, one driving 12 mph faster than the other. After 4 hours, the car traveling faster stops for lunch. After 4 hours and 30 minutes, the car tra
Algebra.Com
Question 866200: Two cars leave a city on the same road, one driving 12 mph faster than the other. After 4 hours, the car traveling faster stops for lunch. After 4 hours and 30 minutes, the car traveling slower stops for lunch. Assuming that the person in the faster car is still eating lunch, the cars are now 24 miles apart. How fast is each car driving?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two cars leave a city on the same road, one driving 12 mph faster than the other. After 4 hours, the car traveling faster stops for lunch. After 4 hours and 30 minutes, the car traveling slower stops for lunch. Assuming that the person in the faster car is still eating lunch, the cars are now 24 miles apart. How fast is each car driving?
-----
Faster car DATA:
rate = r+12 mph ; time = 4 hrs ; distance = r*t = 4(r+12) miles
-------------
Slower car DATA:
rate = r mph ; time = (9/2) hrs ; distance = r*t = (9/2)r miles
------
Solve for "r"
4(r+12) - (9/2)r = 24
4r+48 -(9/2)r = 24
(-1/2)r = -24
r = 48 mph (rate of the slower car)
r+12 = 60 mph (rate of the faster car)
=========================================
Cheers,
Stan H.
=====================
RELATED QUESTIONS
two cars leave a city on the same road, one driving 12 mph faster the the other. After 4... (answered by stanbon)
Two cars leave a city on the same road, one driving 9 mph faster than the other. After 4... (answered by ankor@dixie-net.com)
i know the basic setup of the problem, but i don't know how to simplify the 4 hours and... (answered by ptaylor)
Two cars leave a a city on the same road, one driving 12mph faster than the other. After... (answered by richwmiller)
two cars leave the same city at the same time.Both traveling opposite directions. One... (answered by Alan3354,josmiceli)
Two cars leave a city at the same time, one trabels north and the other south. The car... (answered by josmiceli)
Two cars leave Chicago, one traveling east and the other west. After 4 hours they are 492 (answered by josmiceli)
Two cars leave Chicago, one traveling east and the other west. After 4 hours they are 492 (answered by ikleyn)
two cars leave the same city at the same time. One traveling 5 miles faster than the... (answered by josgarithmetic,MathTherapy)