I left home later than usual, but luckily I made the train.
Literal
Usually [than-よりも] late home [object-を] left [but-けれど], fortunately train [for-には] was-in-time.
普段よりも遅く = 'later than usual' (comparative より + も for emphasis). 幸いに = 'fortunately.' 間に合った = 'made it in time.' けれど softens the contrast. 汽車 is an older word for 'train' (originally steam train).