mt fuji trip – day hike on last day sept 10?

On Wed. Sept 10, I was planning on taking a bus from shinjuku to the yoshida trail and arriving around 9am. Is that enough time for me to climb and descend and then get transportation back to the train station? I don't need to go back to Tokyo. Are there taxis at 6pm that can take me to a hotel? i'd prefer to climb it up and down in one day.

by Financial_Memory5183