You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
Ann and Glenda are participating in a skating race with varying speeds and scheduled breaks. Ann starts off skating at a speed of 6 miles per hour for the first hour, increases her speed to 8 miles per hour for the second hour, and then decreases it to 4 miles per hour for the third hour. However, Ann takes a 15-minute break before starting her third hour. On the other hand, Glenda starts off skating at a speed of 8 miles per hour for the first hour, slows down to 5 miles per hour for the second hour, and increases her speed to 9 miles per hour for the third hour. Glenda takes a 10-minute break while changing direction to skate back towards the starting point for 30 minutes before continuing her original direction with her third hour speed. If they start in the same place and initially skate in straight lines in opposite directions, how many miles apart do they end up after the three hours, including breaks and changes in direction?
user
35.5
rule
Ann and Glenda are participating in a skating race with varying speeds and scheduled breaks. Ann starts off skating at a speed of 6 miles per hour for the first hour, increases her speed to 8 miles per hour for the second hour, and then decreases it to 4 miles per hour for the third hour. However, Ann takes a 15-minute break before starting her third hour. On the other hand, Glenda starts off skating at a speed of 8 miles per hour for the first hour, slows down to 5 miles per hour for the second hour, and increases her speed to 9 miles per hour for the third hour. Glenda takes a 10-minute break while changing direction to skate back towards the starting point for 30 minutes before continuing her original direction with her third hour speed. If they start in the same place and initially skate in straight lines in opposite directions, how many miles apart do they end up after the three hours, including breaks and changes in direction?
train