I need help with an algebra question stat!!!?

mouse: I need help with an algebra question stat!!!?
I cant figure out how to get the time… I have figured out all the d=r*t but that does not help me figure out what time they will meet… please help!!!!!

The question is:
train A and train B are traveling in the same direction on parallel tracks. train A is traveling at 60 miles per hour and train B is traveling at 70 miles per hour. Train a passes a station at 10:20 PM. If train B passes the same station at 10:50 PM, at what time will train B catch up to train A?
TYTYTY!!!!!! Shchekotiki!!!! I had figured all that out but did not realize all i had to do was add the 3.5 to the time to get the answer! you are a lifesaver!! (i would have replied but im too low level to do anything in this forum..) TY again!!

Answers and Views:

Answer by shchekotiki
Let’s say the unknown place where A and B will be at the same time is point N. The distance from the station to point N is the same no matter which train is traveling it, but the time it takes each is different. Rate * Time = Distance, so if the distance for each train is the same, we can combine what might have been two equations to get

(Rate of A) * (Amount of time it takes A to reach point N from the station) = (Rate of B) * (Amount of time it takes B to reach point N from the station)

Now since B passed the station 1/2 hour after A, B’s amount of time is the same as A’s amount of time minus 1/2. If we make (Time of A) = x and plug in the trains’ rates, we get

60x = 70 (x – 1/2)
60x = 70x – 35
– 10x = – 35
x = 3.5

Add 3.5 hours to the time A passed the station and you find that the trains will both be at point N at 1:50 AM.