SOLUTION: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a       Log On


   

Question 307543: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a station at 12:15 a.m. If Train B passes that same station at 12:30 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 TRAIN A
D=96(T-.25) TRAIN B
THE DISTANCES ARE THE SAME THUS SET THE 2 EQUATIONS EQUAL & SOLVE FOR T.
80T=96(T-.25)
80T=96T-24
80T-96T=-24
-16T=-24
T=-24/-16
T=1.5 HOURS AFTER TRAIN LEAVES THEY WILL MEET.
PROOF:
80*1.5=96(1.5-.25)
120=96*1.25
120=120