DD.42 Change direction at every meeting

Taro and Jiro leave P point at the same time and walk between P and Q point 90 m away from P.
Taro goes back and forth between PQ at 120 m/m.
Jiro walks at 15 m/m and every time after he meets Taro, he changes direction and walks.

(1) Find the distance from P point where Taro and Jiro met the 2nd time.

(2) Find the number of times that two persons meet in 12 minutes after leaving.



Answer
(1) 140/9 m
(2) 15 times