<|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 can run 4 times as fast as B and gives B a head start of 69 meters. C can run 2 times as fast as B and gives B a head start of 25 meters. Determine the optimal race course length for A, B, and C to reach the finish line simultaneously. 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
19
A can run 4 times as fast as B and gives B a head start of 69 meters. C can run 2 times as fast as B and gives B a head start of 25 meters. Determine the optimal race course length for A, B, and C to reach the finish line simultaneously.
test