how to go to shenzhen west train station from the shekou port？how many hours travel？

It is around 5.8mi between, so you can take a taxi to reach directly. By public transportation, take bus no. M400, 233, 122 or 22 near the port and get off at Dalu Zhuangyuan station. After getting off, walk north on Nanxin Road for 3 minutes and turn west to Xuefu Road, along which walk 10-15min to your destination. The whole trip takes around 40min.