Problema Solution

Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per hour and train B is traveling at 120 miles per hour. Train A passes a station at 3:20 A.M. If train B passes the same station at 3:35 A.M., at what time will train B catch up to train A.

Answer provided by our tutors

distance at 3:35= 15 mins * speed of train A.

so, distance= 1/4 *100= 25 miles.

 

speed of B= 120mph and of A= 100 mph.

so, relative speed= 120-100= 20 mph

time= 25/20 = 1.25 hours = 1 hour 15 mins.

so, trains B will catch up A at 4:50 am.