When train 2 leaves, train 1 will have already gone 45/6 = 7.5k
45t + 7.5 = 55t
10t = 7.5
t = 0.75
0.75(60) = 45
They will meet 45 mins after train 2 leaves, so 2:40.
Let's check.
0.75(55) = 41.25k
Train 1 will have travelled 55 mins, or 11/12 of an hour.
(11/12)45 = 41.25