<image>$$24.$$ Xiaoming rode his bicycle from home to school. After riding for a while, he remembered that he needed to buy a certain book, so he turned back to a bookstore he had just passed. After buying the book, he continued riding and eventually reached school. The following is a graph illustrating the relationship between the time and distance for this trip to school. Based on the information provided in the graph, answer the following questions: 

$$(1)$$ What is the distance from Xiaoming's home to the school in meters? How many minutes did he stay at the bookstore? How many minutes in total did it take for him to get from home to school?

$$(2)$$ During the entire trip to school, in which time segment did Xiaoming ride the bike the fastest? What was the fastest speed in meters per minute?

$$(3)$$ How many meters in total did Xiaoming travel during this trip to school?