1. **State the problem:** We want to find the unknown time $t$ (in days) it takes for 18 meters of snow to fall, given a proportion relating time and snow depth. 2. **Set up the proportion:** From the problem, the proportion is given as $$\frac{2}{30} = \frac{t}{18}$$ where 2 days corresponds to 30 meters, and $t$ days corresponds to 18 meters. 3. **Use the cross-multiplication rule:** Cross multiply to solve for $t$: $$2 \times 18 = 30 \times t$$ 4. **Simplify the multiplication:** $$36 = 30t$$ 5. **Solve for $t$ by dividing both sides by 30:** $$t = \frac{36}{30}$$ 6. **Show cancellation of common factors:** $$t = \frac{\cancel{36}^{6 \times 6}}{\cancel{30}^{6 \times 5}} = \frac{6}{5}$$ 7. **Final answer:** $$t = \frac{6}{5} = 1.2$$ days. So, it would take 1.2 days for 18 meters of snow to fall.