SOLUTION: A Car A left City X, traveling at an average of 50 miles per hour. Two hours later, a Car B left City X, traveling on the same road at an average velocity of 70 miles per hour. Whe

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A Car A left City X, traveling at an average of 50 miles per hour. Two hours later, a Car B left City X, traveling on the same road at an average velocity of 70 miles per hour. Whe      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1069873: A Car A left City X, traveling at an average of 50 miles per hour. Two hours later, a Car B left City X, traveling on the same road at an average velocity of 70 miles per hour. When will the Car B catch up to the Car A? How far will each car have traveled?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
CAR           SPEED      TIME     DISTANCE
A              50        t+2       d
B              70         t        d


t, how much time for B to catchup with A
d, distance traveled when catchup occurs

RT=D rule gives this system of equations:
system%2850%28t%2B2%29=d%2C70t=d%29

The first question can use the equating of d.
50%28t%2B2%29=70t
5t%2B10=7t
10=2t
highlight%28t=5%29

Use that to find the value for d.