Question 206759

Train A, after passing the station is {{{12/60}}}hr or {{{1/5}}}hr ahead of Train B


When Train B catches up to Train A, both trains will have traveled the same distance


Let the time that it takes Train B to catch Train A be T


Since the trains' distances will be equal when Train B catches up to Train A, then we'll have:


{{{60(T + 1/5) = 80T}}} ------> 60T + 12 = 80T


-20T  =  - 12


{{{T  =  12/20}}}hr ------> {{{T = 3/5}}}hr ------> 36 minutes


Now, since it'll take Train B 36 minutes to catch Train A, then Train B will 


catch Train A at {{{highlight_green(6)}}}:{{{highlight_green(03)}}}pm, which is 36 minutes after Train B passes the station at 5:27pm.