SOLUTION: Car Travel. A car travels from one town to another at a speed of 32 mph. It it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the town

Algebra ->  Expressions-with-variables -> SOLUTION: Car Travel. A car travels from one town to another at a speed of 32 mph. It it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the town      Log On


   



Question 154052This question is from textbook
: Car Travel. A car travels from one town to another at a speed of 32 mph. It it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns? This question is from textbook

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the distance between the two towns.
The lower speed is 32 mph.
The higher speed is 32 + 4 = 36 mph.
The time it take to complete the trip at lower speed is x%2F32.
The time it take to complete the trip at higher speed is x%2F36.
As the time difference is 1/2 hour, we have
x%2F32-x%2F36=1%2F2
4%2A8%2A9%28x%2F32-x%2F36%29=4%2A8%2A9%2A%281%2F2%29 (multiply both sides by 4*8*9)
9x-8x=144
x=144
So the distance between the two towns is 144 miles.