# 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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