Math Problem : DD.33 Two points between school and park

There are A point and B point in order on the way from the school to the park.
Hanako left the school at 9:00 a.m. and walked to the park.
She took a rest for 7 minutes at A point and took a rest for 12 minutes at B point.

Taro left the school at 9:20 a.m. and went to the park by bicycle.
He went to the park without taking a rest on the way.
After resting for 7 minutes, he left the park towards the school.
In the meantime, Taro passed Hanako at P point which is located before A point at 9:28 a.m.

Moreover, Taro passed through B point 10 minutes after leaving the park and then Hanako arrived at B point at the same time.
Answer the following questions.

Noted that the speed of the bicycle of Taro and the speed Hanako walks are constant, respectively.

(1) Find the ratio of the speed of Taro to the speed of Hanako.

(2) Find the ratio of the distance between P point and B point to the distance between B point and the park.

(3) Find the time when Hanako arrived at the park.



Answer
(1) 7 : 2
(2) 4 : 5
(3) 10:50