SOLUTION: Suppose that during a test drive of two​ cars, one car travels 328 miles in the same time that the second car travels 280 miles. If the speed of one car is 12 mil

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Suppose that during a test drive of two​ cars, one car travels 328 miles in the same time that the second car travels 280 miles. If the speed of one car is 12 mil      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1056022: Suppose that during a test drive of two​ cars, one car travels 328

miles in the same time that the second car travels 280

miles. If the speed of one car is 12

miles per hour faster than the speed of the second​ car, find the speed of both cars.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that during a test drive of two cars, one car travels 328 miles in the same time that the second car travels 280 miles. If the speed of one car is 12
miles per hour faster than the speed of the second car, find the speed of both cars.
------------
d = r*t
t is the same
---
280 = r*t
328 = (r+12)*t
----
t = 280/r
t = 328/(r+12)
---
280/r = 328/(r+12)
280*(r+12) = 328r
280r + 3360 = 328r
48r = 3360
r = 70 mi/hr
r+12 = 82 mi/hr