SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passes a station at 6:25 a.m.

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Question 264696: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passes a station at 6:25 a.m. If train B passes the same station at 6:55 a.m. at what time will train B catch up to train A? UGH! I can not even set up an equation for this one! Will someone PLEASE HELP?!!
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passes a station at 6:25 a.m. If train B passes the same station at 6:55 a.m. at what time will train B catch up to train A?
:
from the given information, we know that train B is 30 min (1/2 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: * 70 = 35 mi
:
Let t = time required for train B to catch train A
:
write a distance equation: Dist = speed * time
:
Train B travel dist = Train A travel dist + 35 mi
70t = 60t + 35
70t - 60t = 35
10t = 35
t =
t = 3.5 hr or 3 hrs 30 min
:
Find the time:
6:25 + 3:30 = 09:55 am, B catches A
:
:
Check this by finding the distance each train traveled in 3.5 hr.
3.5*60 = 210 mi
3.5*70 = 245 mi, 35 mi further