<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A is hiking on a trail through various terrains and stops at different checkpoints. A starts hiking at a speed of 10 kmph. After hiking for 2 hours, A has to walk through sandy terrain which reduces his speed to 5 kmph for the next 3 hours. A then reaches a checkpoint where he takes a break for 1 hour. Following this, A hikes through a hilly region for 2 hours at a reduced speed of 8 kmph. 

B starts cycling 7 hours after A sets off and cycles at a constant speed of 20 kmph. He does not stop for any breaks. Considering the different terrains and stops, find the distance from the start where B catches up with A. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
85
A is hiking on a trail through various terrains and stops at different checkpoints. A starts hiking at a speed of 10 kmph. After hiking for 2 hours, A has to walk through sandy terrain which reduces his speed to 5 kmph for the next 3 hours. A then reaches a checkpoint where he takes a break for 1 hour. Following this, A hikes through a hilly region for 2 hours at a reduced speed of 8 kmph. 

B starts cycling 7 hours after A sets off and cycles at a constant speed of 20 kmph. He does not stop for any breaks. Considering the different terrains and stops, find the distance from the start where B catches up with A.
test