To train for a race Nathan bikes every two days in swims every five days he biked on October 2 and he swim on October 5. When is the first time Nathan will bike and swim on the same day.
We are given that Nathan bikes every two days and swims every five days.
Since Nathan biked on October 2, the next time he will bike would be on October 2 + 2 days = October 4.
Similarly, since Nathan swam on October 5, the next time he will swim would be on October 5 + 5 days = October 10.
Therefore, the first time Nathan will bike and swim on the same day would be on October 10.