Question

Kenneth is driving to his son's school. What will happen if Kenneth follows these directions? Turn east off Green Drive at Liberty Avenue. Drive 4 miles. Make a 90° right turn and drive 3 miles. Turn 90° at the intersection. You will reach the school in how many miles?

1) 2 miles
2) 3 miles
3) 4 miles
4) 5 miles

Answer 1

After following the directions, Kenneth will reach his son's school by driving 4 miles west from the last intersection he was directed to turn at.

Step-by-step explanation:

Let's follow Kenneth's directions step by step:

1. Turn east off Green Drive at Liberty Avenue and drive 4 miles.
2. Make a 90° right turn and drive 3 miles.
3. Turn 90° at the intersection.

At this point, Kenneth has made two 90° right turns, which means he is now facing west. Since Kenneth started off by driving east, this final turn brings him back in the opposite direction of his starting point. To determine the distance to the school from this intersection, let's visualize this situation:

• He has made one leg of the journey going east (4 miles).
• Then he turns 90 degrees and makes another leg going south (3 miles).
• After the last 90-degree turn, he is facing west, which is directly opposite to his initial direction. Therefore, he needs to cover the same distance he initially traveled east, back to the west, to reach the school.

Thus, Kenneth will reach his son's school after driving 4 miles west from the last intersection.