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28 October, 00:26

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?

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  1. 28 October, 02:26
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    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.
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