Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per huors and train B is traveling at 110 miles per hours. Train A passes a station at 1:100pm if train B passes the same station at 1:22 pm at what time will train B catch up to train A?

when will Train B catch up with train A?

5 answers

Train A passes the station at 13:00 and train B passes at 13:22. Train A has a headway of 22 minutes, which translates into 100 mph*22/60 = 36.67 miles
Speed of train B exceeds that of train by (110-100)=10 mph.
Therefore time to catch-up
= 36.67/10 *60 minutes
= 220 minutes after 13:22
Therefore time when train B catches up with train A
= 13:22 + 220 minutes
= 17:02
Question on Train A should be 13:10 does this change the equation.
Please help
Yes, it does. Sorry.
Could you figure out along the lines of my solution and post your results for checking, if you wish?
so A=13:10
B=13:22
100mph *12/.60= 20miles
(110-100)=10mph
=20/10*60
120 after 13:22

I'm lost after that
=13:22+120
=
It's 120 minutes after 13:22, or
13:22 + 2:00
= 15:22