Answer:
8 minutes.
Step-by-step explanation:
So the first cycle is 3 up and 2 back therefore in 1 minute he has climbed just 1 step. Then he will climb to step 4 and drop back to step 2 (2 minutes)
then to 5 back to 3, (3 mins) 6 back to 4 (4 mins) , 7 back to 5 (5 mins) , 8 back to 6 (6 mins), 9 back to 7 ( 7 mins). But after climbing the last 3 he is on the top so will not slip back, so that will be a total of 8 minutes.