SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes the s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes the s      Log On


   

Question 226104: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes the station at 3:25 A.M. If train B passes the same station at 3:55 A. M., at what time will train B catch up to train A?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
D=80T
D=84(T-.5)
Because the distances are the same:
80T=84(T-.5)
80T=84T-42
80T-84T=-42
-4T=-42
T=-42/-4
T=10.5 HOURS. TRAIN B WILL CATH-UP WITH TRAIN A.
PROOF:
80*10.5=84*10
840=840