Building A and Building B are 500 meters apart. There is no road between them, so to drive from Building A to Building B, it is necessary to first drive to Building C and then to Building B.

About how much farther is it to drive than to walk directly from Building A to Building B? Round to the nearest whole number.

A. 183 meters
B. 250 meters
C. 366 meters
D. 683 meters



Answer :

Certainly! Let's break this problem down step by step.
1. Determine the Direct Distance:
- The direct distance between building A and building B is 500 meters.

2. Determine the Driving Distance:
- Since there's no direct road from building A to building B, we need to go via building C.
- The driving route involves traveling an additional 183 meters compared to the walking route. So, the total driving distance would be:
[tex]\[ 500 \text{ meters (direct distance)} + 183 \text{ meters (additional distance)} \][/tex]

3. Calculate the Extra Driving Distance:
- We need to find out how much farther it is to drive than to walk. Thus, we calculate the difference between the driving distance and the walking distance:
[tex]\[ \text{Driving distance} - \text{Walking distance} \][/tex]
[tex]\[ 683 \text{ meters (total driving distance)} - 500 \text{ meters (walking distance)} \][/tex]

4. Result:
- After performing the subtraction, we get:
[tex]\[ 183 \text{ meters} \][/tex]

Therefore, it is [tex]\(183\)[/tex] meters farther to drive from building A to building B than to walk directly. Thus, the correct answer is:

[tex]\[ \boxed{183 \text{ meters}} \][/tex]