SOLUTION: Train A and B are travling in the same direction on parallel tracks, Train A is traveling at 80 miles per hr and Train B is traveling at 90 miles per hr. Train A passes a stati

Algebra ->  Graphs -> SOLUTION: Train A and B are travling in the same direction on parallel tracks, Train A is traveling at 80 miles per hr and Train B is traveling at 90 miles per hr. Train A passes a stati      Log On


   



Question 473397: Train A and B are travling in the same direction on parallel tracks,
Train A is traveling at 80 miles per hr and Train B is traveling at 90 miles per hr.
Train A passes a station at 12:10am
Train B passes the same station at 12:22am
at what time will Train B catch up with Train A?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Train A and B are traveling in the same direction on parallel tracks,
Train A is traveling at 80 miles per hr and Train B is traveling at 90 miles per hr.
Train A passes a station at 12:10am
Train B passes the same station at 12:22am
at what time will Train B catch up with Train A?
:
From the given information, we know that Train B is 12 min behind A at at 12:10 am
therefore Train B is:
12%2F60 * 90 = 18 miles behind Train A at that time.
:
Let t = time required for Train B to catch Train A
:
Write a distance equation; dist = speed * time
:
Train B dist = Train A dist + 18 mi
90t = 80t + 18
90t - 80t = 18
10t = 18
t = 18%2F10
t = 1.8 hrs for B to catch A
:
Convert 1.8 hrs to hrs and minutes: 1 + .8(60) = 1 hr 48 min
:
Find the time from 12:10 am:
12:10 + 1:48 = 1:58 am, Train B catches Train A