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What is the duration of the following reversible reaction?

A <--> B

You have 10 moles of A and zero moles of B.

After 1 minute, 25% of A turns into B, and 50% of B turns into A.

My class calculated it to be 5 minutes by calculating how much A and B there will be after each minute until it reached equilibrium (6.667 moles A, 3.333 moles B), but I believe the correct answer will require calculus, but I don't know how.