A 74-kg canoeist stands in the middle of her 18-kg canoe. The canoe is 3.0 m long, and the end that is closest to land is 2.5 m from the shore. The canoeist now walks toward the shore until she comes to the end of the canoe.

calculate the distance from the canoeist to shore.

cg of system does not move

originally cg is 1.5 m + 2.5 m = 4 m from shore
so
(74 + 18) 4 = 74 x + 18 (x+1.5)

368 = 74 x + 18 x + 32.4

335.6 = 92 x

x = 3.65

did not get much closer but pushed the canoe back a lot.