SOLUTION: Can you help me solve A car travels 180 mi. A second car, traveling 15 mi/hr faster than the first car, makes the same trip in 1 h less time. find the speed of each car.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can you help me solve A car travels 180 mi. A second car, traveling 15 mi/hr faster than the first car, makes the same trip in 1 h less time. find the speed of each car.      Log On


   



Question 34056: Can you help me solve
A car travels 180 mi. A second car, traveling 15 mi/hr faster than the first car, makes the same trip in 1 h less time. find the speed of each car.

Found 2 solutions by tmarienatree, Paul:
Answer by tmarienatree(17) About Me  (Show Source):
You can put this solution on YOUR website!
i would say you would need the distance to find that and you could make a table but oher than that i dont no wat eles to say ask your teacher

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
The second car travels at 15+x
THe first car travels at x
Since its 1 hours less it's
d/(x)=d/(x+15)+1
and d=180
Equation:

Cross mutliply:
180[(15+x)-(x)]=(x+15)(x)
180%2815%29=x%5E2%2B15x
x%5E2%2B15x-2700
a=1, b=15, c=-2700 in quardatic formula:

simplfy:
x=45 or x=-60
remove the negative and x=45.
Hence, the speed of the first car was 45mph and the second car was 60mph.
Paul.