The cheapest way to get from Gorakhpur to Kathmandu costs only $30, and the quickest way takes just 4¾ hours. Find the travel option that best suits you. The cheapest way to get from Kathmandu to Gorakhpur costs only $29, and the quickest way takes just 4¾ hours. Find the travel option that best suits you. Gorakhpur to Kathmandu: approx 320-350 kms by road, travel time 7-15 hours (depends on your mode of transport and traffic). Bettiah, Raxaul, Pokhara, Lumbini – all these are also major places connected to the Nepal border. The distance between Gorakhpur and Kathmandu is 298 km. The road distance is 319.5 km.