A object goes [tex]\frac{3}{4}[/tex] miles in 6 minutes. 6 minutes is [tex]\frac{1}{10}[/tex] of an hour (1 hour = 60 minutes)
[tex]\frac{3}{4} +\frac{3}{4} =\frac{6}{4}=1\frac{2}{4}=1\frac{1}{2}[/tex]
[tex]1\frac{1}{2}[/tex] is twice [tex]\frac{3}{4}[/tex], or it is [tex]\frac{3}{4}[/tex] doubled, so you also double the time.
6 · 2 = 12 minutes or 6 + 6 = 12
[tex]\frac{12}{1 hour} =\frac{12}{60} =\frac{1}{5}[/tex]
The object travels [tex]1\frac{1}{2}[/tex] miles in [tex]\frac{1}{5}[/tex] hours
[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]
[tex]2\frac{1}{4}[/tex] is 3 times [tex]\frac{3}{4}[/tex], or it is [tex]\frac{3}{4}[/tex] tripled, so you also triple 6 minutes.
6 · 3 = 18 or 6 + 6 + 6 = 18
[tex]\frac{18}{1hour}=\frac{18}{60}=\frac{3}{10}[/tex]
The object travels [tex]2\frac{1}{4}[/tex] miles in [tex]\frac{3}{10}[/tex] hours
