Question

Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did

Answer 1

To answer this question, you will find the number of kilometers she ran per hour.  This is called the unit rate.  To get the unit rate, you will divide the number of kilometers by the number of hours, so 25/3.  The answer is 8 1/3 kilometers per hour. This number falls between the whole numbers 8 and 9.  I will describe to you how to create a visual model to show this.  If you draw a long bar and break it into 25 equal sections.  Take 24 of these groups and circle 3 groups of 8 to show the 8 km.  Take the last group and break it into 3 equal sections as well (creating groups the size of 1/3). One of these goes with the group of 8 you got when you broke the whole sections into groups of three creating the mixed number 8 1/3 kilometers.  This shows you modeling the 25 km broken into 3 equal sized groups (which is division).