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 (1)
Calculate the total driving distance: 300 + 683 = 983 meters.
Subtract the direct distance from the driving distance: 983 − 500 = 483 meters.
Round the result to the nearest whole number: 483 meters.
The driving distance is approximately 483 meters farther than the direct distance.
Explanation
Problem Analysis We are given that the distance between building A and building B is 500 meters. To drive from A to B, we must go through building C. The distance from A to C is 300 meters, and the distance from C to B is 683 meters. We want to find the difference between the driving distance (A to C to B) and the direct distance (A to B).
Calculate Total Driving Distance First, we calculate the total driving distance by adding the distances AC and CB: A C + CB = 300 + 683 = 983 The total driving distance is 983 meters.
Calculate the Difference Next, we subtract the direct distance AB from the total driving distance: 983 − 500 = 483 The difference between the driving distance and the direct distance is 483 meters.
Round to Nearest Whole Number Finally, we round the result to the nearest whole number. Since 483 is already a whole number, no rounding is needed. Therefore, it is approximately 483 meters farther to drive than to walk directly from building A to building B.
Examples
Imagine you are planning a trip. You know the direct distance between your starting point and your destination, but you also know that you have to make a stop at an intermediate location. Calculating the extra distance you travel by making the stop helps you estimate the total travel time and fuel consumption for your trip. This is a practical application of understanding distances and differences in travel routes.
