Question 177621
Train A and train B are traveling in the same direction on parallel tracks.
 train A is traveling at 80 miles per hour and train B is traveling at 96 miles
 per hour train A passes a station at 10:20pm if train B passes the same station
 at 10:35pm what time will train B catch up to 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}}} * 96 = 24 mi
:
Let t = time required for train B to catch train a
:
write a distance equation: Dist = speed * time
:
Train A travel dist = Train b travel dist + 24 mi
96t = 80t + 24 
96t - 80t = 24
16t = 24
t = {{{24/16}}}
t = 1.5 hr or 1 hr 30 min
:
10:20 + 1:30 = 11:50 pm, B catches A