# Oh, The Grand Old Duke Of York!

**Algebra**Level 2

*Oh, The Grand Old Duke Of York,*

*He had ten thousand men.*

*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?