Question 304487
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 48 mph.
 Train A passes a station at 7:20am.
 If Train B passes the same station at 7:35am, 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}}} * 48 = 12 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 + 12 mi
48t = 40t + 12 
48t - 40t = 12
8t = 12
t = {{{12/8}}}
t = 1.5 hr or 1 hr 30 min
:
7:20 + 1:30 = 8:50 am, B catches A