<|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
 Amit, Ananthu, and Chandra can do a work in 15 days, 90 days, and 45 days respectively. Amit started the work and left after 3 days. Ananthu took over and worked for 6 days, after which Amit joined back in and Chandra also joined them. All three worked together until the work was completed. In how many days was the total work completed? 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
17
Amit, Ananthu, and Chandra can do a work in 15 days, 90 days, and 45 days respectively. Amit started the work and left after 3 days. Ananthu took over and worked for 6 days, after which Amit joined back in and Chandra also joined them. All three worked together until the work was completed. In how many days was the total work completed?
test