[tex]\mathrm{\frac{\#\:of\:miles}{\#\:of\:hours}=\frac{5}{1\frac{1}{2}}}[/tex]
First off, we have to convert 1 and half hours to minutes
1 hour = 60 mins
1 and a half is half of 1, which is 60 ÷ 2 = 30, then plus 1 hour, which is 60. So 60 + 30 = 90.
So we have:
[tex]\frac{5}{90}[/tex]
Since we converted minutes to hours on one side of the equation, we have to do the same on the other side of the equation.
1 hour = 60 mins
6 hours would be 60 × 6 = 360 minutes
Now we can set up a variable, [tex]m[/tex], as to how far it will take in miles.
[tex]\frac{5}{90}=\frac{m}{360}[/tex]
Make sure to put your units at the same level. Learn more: https://brainly.com/question/25104279
Nextly, we solve for [tex]m[/tex]
[tex]\frac{5}{90}=\frac{m}{360}[/tex]
Step 1: Multiply 10 to both sides
[tex]10\cdot[\frac{5}{90}]=[\frac{m}{360}]\cdot10[/tex]
10 and 90. Cancel the zeros. We are left with 9, so [tex]\frac{5}{9}[/tex]
360 and 10. Cancel the zeros. We are left with 36, so [tex]\frac{m}{36}[/tex]
So we have [tex]\frac{5}{9}=\frac{m}{36}[/tex]
Step 2: Multiply 36 to both sides
[tex]\frac{36m}{36}=\frac{5\cdot \:36}{9}[/tex]
[tex]20[/tex]
Therefore, Goerge could walk 20 miles in 6 hours.
