SOLUTION: Two cars leave the same place at the same time traveling in opposite directions. One car is traveling at a rate of 30 mph while the other is traveling at a rate of 45 mph. How long

Algebra ->  Test -> SOLUTION: Two cars leave the same place at the same time traveling in opposite directions. One car is traveling at a rate of 30 mph while the other is traveling at a rate of 45 mph. How long      Log On


   



Question 457447: Two cars leave the same place at the same time traveling in opposite directions. One car is traveling at a rate of 30 mph while the other is traveling at a rate of 45 mph. How long will it take until the cars are 250 miles apart?
Found 2 solutions by rfer, Gogonati:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
moving apart at 75 mph
250/75=3 hrs 20 min

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
After x h the cars are 250 miles apart. After x h the first car travels 30*x miles
and the second car travels 45*x miles. Since the cars after x h are 250 miles
apart we write:45%2Ax%2B30%2Ax=250=>75x=250=>x=3%261%2F3h
Answer:After 3 h and 20 min the cars are 250 miles apart.