Train A and B travelingin the same direction on parallel tracks. Train A is trav

Question

Train A and B travelingin the same direction on parallel tracks. Train A is traveling at100 miles per hour and train B is traveling at 120 miles per hour.Train A passes a station at 10:10 P.M. If train B passes the samestation at 10:22 P.M., at what time will train B catch up to traingA? When will train B catch up with train A? answered required intime followed by AM or PM Train A and B travelingin the same direction on parallel tracks. Train A is traveling at100 miles per hour and train B is traveling at 120 miles per hour.Train A passes a station at 10:10 P.M. If train B passes the samestation at 10:22 P.M., at what time will train B catch up to traingA? When will train B catch up with train A? answered required intime followed by AM or PM When will train B catch up with train A? answered required intime followed by AM or PM

Explanation / Answer

recall d = s / t    where d is distance ,, sis speed and t is time. since the distance covered is to be the same and train B starts 12 passes the station 12 minutes ( 1/5 of anhour) later , we have the equation      120 / (t + 1/5 ) = 100 / t   where t is the timewhen train B will catch up with train A                                    so   120t = 100t + (1/5) 100                                    so   120t = 100t + 20                                   and    20t = 20                                    thus t = 1 so train B will catch up with train A in one hour which willbe at 11:10pm hope this helps

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