SOLUTION: Trains A and B are traveling 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 statio

Question 329502: Trains A and B are traveling 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 1:10 P.M. If train B passes the station at 1:22 P.M. at what time will train B catch up with train A?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling 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 1:10 P.M.
If train B passes the station at 1:22 P.M. at what time will train B catch up with train A?
:
from the given information, we know that train B is 12 min (1/5 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: * 70 = 14 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 + 14 mi
70t = 60t + 14
70t - 60t = 14
10t = 14
t =
t = 1.4 hr or 1 hr 24 min
:
1:10 + 1:24 = 2:34 pm, B catches A
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