# Oh, The Grand Old Duke Of York!

Algebra Level 3

Oh, The Grand Old Duke Of York,

He marched them up

To the top of the hill,

And he marched them down again.

By $$2$$ o'clock he was $$\frac {1}{3}$$ of the way up. By $$4$$ o'clock he was $$\frac {3}{4}$$ of the way up. Assuming he walked at a constant pace, when did he start?

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