This image indicates that the typhoon is predicted to hit Kumamoto on Wednesday morning:
http://www.jma.go.jp/en/typh/1408l.html
The times are shown in UTC (Coordinated Universal Time). This is good for international scholars but a little confusing for those of us who actually live in Japan. You need to add 9 hours to UTC. I wish that they would give English speakers the option of viewing the information with Japanese times. If the government’s primary concern were to provide information to help foreign residents protect themselves, I would think the need for such an option would occur to them.
If you can read Japanese and/or would like to see information presented with local times, you can go to the Japanese page: