Question 481072
trains A and B are traveling in the same direction on the parallel tracks.
 train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour.
 Train A passed a station at 6:15 pm if train B passes the same station at 6:30 pm.
 At what time will train B catch up with train A?
:
from the given information, we know that train B is 15 min (1/4 hr) behind
 train A, when train A passes the station
:
The distance between the trains at this time: {{{1/4}}} * 100 = 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
100t = 80t + 25 
100t - 80t = 25
20t = {{{25/20}}}
t = 1.25 hr or 1 hr 15 min
:
6:15 pm + 1:15 = 7:30 pm, B catches A