Two persons meet and janken

Taro and Jiro are in A and B, respectively in the figure at first.

They begin to walk at the same time with the same speed and they play rock-paper-scissors at the place where they met.

The person who won at rock-paper-scissors walks as it is and the person who lost runs with speed 3 times the speed of walking and returns to a starting point and walks with the original speed to partners.

And they play rock-paper-scissors at the place where they meet again.

After repeating as above several times and the points they met are set to C, D, E, and F at order.

Taro won at C and E and Jiro won at D.

Answer the following questions.

(1) Answer the ratio of the distance between EB and between AB by the ratio of the least integer.

(2) The distance of between AF was 10 m.

Find the distance of between AB.

Round off the 2nd decimal place and find to the 1st decimal place.

Answer