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
A group of men with varying work rates decided to complete a project in 50 days. However, 10 of them could not participate. The rest of the group, now having to work longer hours, managed to finish the work in 60 days. If the sum of the work rates of the original group was 100 units per day, find the original number of men and the total number of extra working hours contributed by the rest of the group. Assume that each man worked the same number of hours each day.
user
500H
rule
A group of men with varying work rates decided to complete a project in 50 days. However, 10 of them could not participate. The rest of the group, now having to work longer hours, managed to finish the work in 60 days. If the sum of the work rates of the original group was 100 units per day, find the original number of men and the total number of extra working hours contributed by the rest of the group. Assume that each man worked the same number of hours each day.
train