SOLUTION: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and train b is traveling at 50 mph. Train A passes a station at 11:15 pm. If tra
Algebra ->
Linear-equations
-> SOLUTION: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and train b is traveling at 50 mph. Train A passes a station at 11:15 pm. If tra
Log On
Question 323011: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and train b is traveling at 50 mph. Train A passes a station at 11:15 pm. If train B passes the same station at 11:45pm, at what time will train B catch up to train A? Answer by ankor@dixie-net.com(22740) (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 40mph and train B is traveling at 50 mph.
Train A passes a station at 11:15 pm.
If train B passes the same station at 11:45pm, 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: * 50 = 25 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 + 25 mi
50t = 40t + 25
50t - 40t = 25
10t = 25
t =
t = 2.5 hr or 2 hr 30 min
:
11:45 pm + 2:30 = 2:15 am, B catches A
