A firefighter is standing in front of a 24 step ladder. Every minute he climbs 4 steps then the next minute he climbs down 3 steps. If he starts a 9:00, what time will he reach the first step on the top rung of the ladder?

I believe it would be 9:48 because it takes 2 minutes to go up one step, since 1 minute he goes up 4 then goes down 3 the next minute, leaving the only progress of the 2 minutes is 1 step.

So 2 minutes for 1 step, 24 steps would be 24x2 = 48 and 9:00 48 minutes later is 9:48

The time would be 9:45