SOLUTION: Trains A and B are travelling at the same direction on paralell tracks. Train A is travelling at 40 miles per hour and Train B is travelling at 60 miles per hour. Train A passes a

Question 141699: Trains A and B are travelling at the same direction on paralell tracks. Train A is travelling at 40 miles per hour and Train B is travelling at 60 miles per hour. Train A passes a station at 3:25 AM. If train B passes the same station at 3:37AM. At what time will train B catch up with train A??
How do I figure this one out??
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling at the same direction on parallel tracks.
Train A is traveling at 40 miles per hour and
Train B is travellng at 60 miles per hour.
Train A passes a station at 3:25 AM.
If train B passes the same station at 3:37AM. At what time will train B catch up with train A??
-------------------
The problem starts at the station.
B leaves the station 12 minutes, or (1/5) hr., after A.
When B catches A they are the same distance from the station.
------------------
A DATA;
rate = 40 mph ; time = x hrs ; distance = 40x miles
--------------------
B DATA:
rate = 60 mph ; time = (x-(1/5)) ; distance = 60(x-(1/5)) = 60x-12 miles
------------------
EQUATION:
40x = 60x-12
20x = 12
x = 3/5 hr = 36 minutes
3:25 + 36 = 4:01 AM (time A catches up to B)
==================
Cheers,
Stan H.
RELATED QUESTIONS
Trains A and B are travelling in the same direction on parallel tracks. Train A is... (answered by checkley77)

trains A and B are travelling in the same direction on parellel tracks. train A is... (answered by mananth)

train a and b is travelling in the same direction on parallel tracks. Train A is... (answered by ankor@dixie-net.com)

Trains A and B are travelling in the same direction on parallel tracks. train A is... (answered by nerdybill)

Trains A and B are travelling in the same direction on parallels tracks. Train A is... (answered by checkley77)

Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by checkley71,vnbox)

Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by mananth)

Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by stanbon)

Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by ankor@dixie-net.com)