You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 48 miles per hour. Train A passes a station at 11:15PM.. If train B passes the same station at 11:30pm, at what time will train B catch up to train A?
from the given information, we know that train B is 15 min (.25 hr) behind
train A, when train A passes the station
The distance between the trains at this time: .25 * 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
t = 1.5 hr or 1 hr 30 min
11:15 PM + 1:30 = 00:45 AM, B catches A
Check solution by finding the distances (train B travels 12 mi more than train A)
48 * 1.5 = 72 mi
40 * 1.5 = 60 mi
difference= 12 mi