You leave your house and walk east for \(1.0 \mathrm{~h}\), northeast for \(1.5 \mathrm{~h}\), south for \(1.0 \mathrm{~h}\), and southwest for \(2.5 \mathrm{~h}\), always moving at the same speed. Realizing it is going to get dark soon, you head directly home. How long does it take to walk directly home if your speed stays the same as it was on every leg of the walk?