Question

Your school is located at (2,−1), which is 2 blocks east and 1 block south of the center of town. To get from your house to the school, you walk 5 blocks west and 2 blocks north. You can only walk along streets that are north and south or streets that are east and west. You are the center of town and decided to take the shortest path home that passes by the school. When you are at the school, what percent of the walk home remains?

Answer 1

After reaching the school, the student has to walk 5 blocks west and 2 blocks north to get home, making a total of 7 remaining blocks. The total distance from the center of town to home is 10 blocks. Therefore, 70% of the walk home remains.

Step-by-step explanation:

The question involves finding the percentage of the total walking distance remaining after reaching the school when starting from the center of town. First, we need to determine the total walking distance. To do this, we consider the two-dimensional path that you as a pedestrian would take. Since the school is located at (2, -1), which is 2 blocks east and 1 block south of the center of town, and to reach your house you walk 5 blocks west and 2 blocks north from school, the total number of blocks you walk is 7 blocks west (2 blocks east to the school then 5 blocks west from the school to home) and 3 blocks north (1 block south to the school then 2 blocks north from the school to home).

The student is asking about the remaining distance home after reaching the school. Thus, after reaching the school, you have the 5 blocks west and the 2 blocks north left to walk. The remaining distance is therefore 5 + 2 = 7 blocks. Since the total walking distance is 7 blocks west and 3 blocks north, which results in a total of 10 blocks, the percentage remaining after reaching the school is (7/10) * 100% = 70%.