# Dylan's Math Sets

Dylan is writing solutions to his problems for some math sets. There are $$25$$ problems on his set, and while he is incredibly fast at solving problems, he is quite slow at writing up solutions. He takes $$x$$ minutes to solve the $$xth$$ problem, but to write it up, it takes him $$x^{2}$$ minutes.

If it takes him $$6$$ minutes to prepare his set (like writing his name, and the date etc.) and he plans to finish the set over $$3$$ days, how much time should he spend on it each day? Express your answer as: if it takes him $$m$$ hours and $$n$$ minutes, your answer should be $$n + m$$.

For example, the $$5th$$ problem would take him $$5$$ minutes to solve, but $$25$$ ($$5^{2}$$) minutes to write it up. Assume that he does an equal part each day. Also assume that Dylan does not live on Earth; he lives on a planet with 100 hour days.

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