A turntable in the shape of a flat uniform disk has a radius of 2m and a total mass of 120kg. The turntable is rotating at 3rad/s about a verticla axis through its centre. Suddenly a 70kg parachutist lands on the outer edge.(model parachutist as a particle. Find the angular speed of the turntable after the parachutist lands.

My working so far:

however my textbook says 1.38 rad/s???????