To find the total distance you walked, we can sum up the distances for each segment of your walk:
- North: 800 m
- East: 600 m
- South: 200 m
The total distance walked is:
\[ 800 \text{ m (North)} + 600 \text{ m (East)} + 200 \text{ m (South)} = 800 + 600 + 200 = 1600 \text{ m} \]
Now, we can calculate the total time it takes using the speed:
\[ \text{Time} = \frac{\text{Total Distance}}{\text{Speed}} = \frac{1600 \text{ m}}{2 \text{ m/s}} = 800 \text{ seconds} \]
Thus, the total time it will take you to get to the grocery store is 800 seconds.