SOLUTION: Bay City and Vernonville are 168 miles apart. A car leaves Bay City traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Bay City.

Question 414434: Bay City and Vernonville are 168 miles apart. A car leaves Bay City traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Bay City. The car leaving Bay Caity averages 10 mph more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the cars?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Bay City and Vernonville are 168 miles apart.
A car leaves Bay City traveling towards Vernonville, and another car leaves
Vernonville at the same time, traveling towards Bay City.
The car leaving Bay City averages 10 mph more than the other, and they meet after 1 hour and 36 minutes.
What are the average speeds of the cars?
:
Change 1 hr 36 min to 1.6 hrs, (36/60)
:
Let s = speed of the Bay City car
then
(s-10) = speed of the Vern car
:
When the two cars meet, they will have traveled a total of 168 mi
Write a distance equation; dist = time * speed
:
1.6s + 1.6(s-10) = 168
1.6s + 1.6s - 16 = 168
3.2s = 168 + 16
3.2s = 184
s =
s = 57.5 mph speed of the Bay City car
then, obviously; 47.5 mph is the speed of the other car
:
:
Check this by finding the total of the distances
57.5 * 1.6 = 92 mi
47.5 * 1.6 = 76 mi
------------------
total dist: 168 mi
RELATED QUESTIONS
Bay city and Vernonville are 330 miles apart. A car leaves Bay City traveling towards... (answered by richwmiller)

Hello again, I wonder if you can help me with these word problems? Suppose that x... (answered by Alan3354)

Salem and Vernonville are 112 miles apart. A car leaves salem traveling towards... (answered by mananth)

Newport and Vernonville are 208 miles apart. A car leaves Newport traveling... (answered by ikleyn,josmiceli)

Salem and Vernonville are 128 miles apart. A car leaves Salem traveling towards... (answered by josmiceli)

Newport and Vernonville are 112 miles apart. A car leaves Newport traveling towards... (answered by lwsshak3,josmiceli)

Newport and Vernonville are 112 miles apart. A car leaves Newport traveling towards... (answered by josgarithmetic)

Lewiston and Vernonville are 128 miles apart. A car leaves Lewiston traveling towards... (answered by Shin123,josgarithmetic,solver91311)

Lewiston and Vernonville are 144 miles apart. A car leaves traveling towards... (answered by ikleyn)