A blue horse on a carousel rises 1 and 1/2 feet and descends again exactly eight times for each time the carousel revolves once.

Question

If the horse begins rising just when the carousel starts, how high will it be when the carousel is two thirds of the way around, and will it be going up or coming down?

Answer 1

We have 16 total vertical movements of 1 1/2 ft up or down.

(2/3)16 = 32/3 = 10 1/3

Since the evens are going down, it will be starting back up, 1/3 of the way.

(3/2)(1/3) = 1/2 ft or 6 inches up.