Two trains leave a station traveling in the same direction. Train A leaves at 2:00 PM traveling at a constant speed of 40 mph, while train B leaves at 3:00 PM traveling at a constant speed of 60 mph. At what time will train B overtake train A if neither train deviates from its constant speed?	Options
A) 80 B) 90 C) 100 D) 110 E) 120
We can use D=RT [distance=rate*time]   when train B overtakes train A, train A will have traveled for 1 hour longer than train B so   time of train B: T   time of train A: T+1 hour   rate of train B: 60 mph   rate of train A: 40 mph   when B overtakes A, they will have traveled the same distance D=RT, so set the RT for each trains equal to each other   40*(T+1) = 60*T   40T+40 = 60T   40 = 20T   2 = T   2 hours = 120 minutes   120
<result>E</result>
Two trains leave a station traveling in the same direction. Train A leaves at 2:00 PM traveling at a constant speed of 40 mph, while train B leaves at 3:00 PM traveling at a constant speed of 60 mph. At what time will train B overtake train A if neither train deviates from its constant speed?