SOLUTION: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1052334: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour faster than the speed of the second​ car, find the speed of both cars.
The speed of the first car is
nothing ​mph, and the speed of the second car is
nothing mph.
Found 2 solutions by jorel555, ewatrrr:
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let r be the rate of the slower car. Given that the times are equal, we have:
150/r=185/r+14
150(r+14)=185r
35r=2100
r=60
The slower car travels 60 mph; the faster one goes 74 mph. ☺☺☺☺

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
D = rt
0r
t = D/r
Times the same for both
185%2F%28r%2B14%29+=+150%2Fr
| Cross Multiplying to solve
185r = 150(r+14)
35r = 150*14
r =60mph
(r+14) = 74mph