Bryce leaves home on a scooter. He rides 3 miles north, 3 miles west and 3 miles south. How far and in which direction must Bryce go to get back to his home?

To get back to his home, Bryce must move 3 miles to the east.

Step-by-step explanation:

Let's solve this problem step by step, position by position:

Initially, Bryceis home (I am going to denote home as H).

H

Then, the problem states that Bryce rider 3 miles north, so:

N

3

H

3 is the distance, in miles. Bryce is at position N.

Then, he rides 3 miles west.

W 3 N

3

H

Now, Bryce is at position W. He goes 3 miles south, so:

W 3 N

3 3

S H

Bryce is now at S, and must get to H. So, he must move to the east. Each block has 3 miles, so he must move 3 miles.

To get back to his home, Bryce must move 3 miles to the east.