Three persons, Taro, Jiro, and Hanako carry out bagging work of a certain product.
In order to all products are bagged, it will take 150 minutes by two persons, Taro and Jiro, and it will take 125 minutes by two persons, Taro and Hanako and it will take 600 minutes by Jiro.
Find the time of bagging all products done by Taro.
When Taro and Jiro start bagging first and Hanako will join afterwards, find the minimum time when Hanako must work in order to finish bagging all within 120 minutes.
Answer should be rounded out the decimal point and calculated to the unit of minute.