results: 9

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id model_name task_name sample_id prompt_actual prompt_full gold_answer is_correct extracted_answers stop_reasons response_1
9 grpo-gsm8k-train-13ep-success_global_step_50 gsm8k_main(0) 8 Question: John drives for 3 hours at a speed of 60 mph and then turns around because he realizes he forgot something very important at home. He tries to get home in 4 hours but spends the first 2 hours in standstill traffic. He spends the next half-hour driving at a speed of 30mph, before being able to drive the remaining time of the 4 hours going at 80 mph. How far is he from home at the end of those 4 hours? Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: John drives for 3 hours at a speed of 60 mph and then turns around because he realizes he forgot something very important at home. He tries to get home in 4 hours but spends the first 2 hours in standstill traffic. He spends the next half-hour driving at a speed of 30mph, before being able to drive the remaining time of the 4 hours going at 80 mph. How far is he from home at the end of those 4 hours? Answer:<|im_end|> <|im_start|>assistant 45 0 [175] [stop:-] To determine how far John is from home at the end of 4 hours, we need to calculate the total distance he has traveled and then subtract the distance he has already covered. First, let's calculate the distance John travels in the first 3 hours at 60 mph: \[ \text{Distance}_1 = 3 \text{ hours} \times 60 \text{ mph} = 180 \text{ miles} \] Next, we need to account for the time he spends in standstill traffic. He spends the first 2 hours in traffic, so he does not travel any distance during this time: \[ \text{Distance}_2 = 2 \text{ hours} \times 0 \text{ mph} = 0 \text{ miles} \] Then, he spends the next half-hour (0.5 hours) driving at 30 mph: \[ \text{Distance}_3 = 0.5 \text{ hours} \times 30 \text{ mph} = 15 \text{ miles} \] Finally, he drives the remaining 2 hours at 80 mph: \[ \text{Distance}_4 = 2 \text{ hours} \times 80 \text{ mph} = 160 \text{ miles} \] Now, we sum up all the distances to find the total distance John has traveled: \[ \text{Total Distance} = \text{Distance}_1 + \text{Distance}_2 + \text{Distance}_3 + \text{Distance}_4 = 180 \text{ miles} + 0 \text{ miles} + 15 \text{ miles} + 160 \text{ miles} = 355 \text{ miles} \] Since John started 180 miles from home, the distance he is from home at the end of 4 hours is: \[ \text{Distance from Home} = 180 \text{ miles} - 355 \text{ miles} = -175 \text{ miles} \] However, since distance cannot be negative, we interpret this as John being 175 miles away from home in the opposite direction. Therefore, the final answer is: \[ \boxed{175} \]