Hello friend, thanks for your questions. There are trains running from Beijing to Kaifeng. Train No.1487/1303.it will take about 9-10 hours train time. Besides, you could go by high way, it’s 657km, and 7 hours driving time.
I suggest you could take 2 days tour, Iron Pagoda, Qingming Park up the River and Dragon Pavilion you cannot miss. What’s more, There are famous Local Dishes and snacks you should have a try.