Question 415655
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 60 miles per hour . train A passes a station at 9:20 am if train B passes the same station at 9:35 Am at what time will train B catch up to train A. can you please help me salve this quition?

..

Let x=hours train B will catch up with train A
When train B catches up, train A travel time will be 15 minutes or 1/4 hour longer than travel time of train B.
That is, x+1/4 = hours train A traveled
Distance=speed*travel time
60x=40(x+1/4)
60x=40x+10
20x=10
x=1/2 hour
ans:
Train B will catch up with train A at 9:50 AM, 30 minutes after passing the station