So much work to do!

Algebra Level 4

Kamal and Sandeep start doing a task, working alternatively for a day each. The tasks gets done in exactly 13 days when Kamal start the task on the first day. And it takes exactly \( 13 \dfrac13 \) days when Sandeep start the task on the first day. In how many days will the task be done, if both work together on the task?

If your answer is \(\dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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