Answer:
[tex]\frac{4}{5}[/tex] hour
Step-by-step explanation:
Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.
We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.
We will use proportions to solve our given problem as:
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
We will equate both speeds as:
[tex]\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}[/tex]
[tex]\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}[/tex]
[tex]\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}[/tex]
Cross multiply:
[tex]13\cdot 10\cdot x=13\cdot 4\cdot 2[/tex]
[tex]10\cdot x=4\cdot 2[/tex]
[tex]\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}[/tex]
Therefore, it will take [tex]\frac{4}{5}[/tex] hour to complete [tex]1\frac{3}{10}[/tex] mile state fair race.
