I think his goal from GW Bridge bus station was to get out of the city as quick as possible. From what I can tell, the bus going south, like to Philadelphia and beyond was not until 1:25 pm. The bus going north to Hartford, Boston was at 10:20 am. Out of those two, no way is he waiting for that Philly one. He would go towards Boston. Other choice would be taking a local NJ bus across the river if that's possible just to get out of the city and take something from there.