Sarah covered 15 miles in [tex]1\frac{1}{3}[/tex] hours
Solution:
Given that,
Sarah rides her bikes [tex]2\frac{1}{4}[/tex] miles in [tex]\frac{1}{5}[/tex] hour
Let us first find the miles covered in 1 hour
Let "x" be the miles covered in 1 hour
From given statement,
[tex]2\frac{1}{4}[/tex] miles = [tex]\frac{1}{5}[/tex] hour
x miles = 1 hour
This forms a proportion and we can solve by cross multiplying
[tex]2\frac{1}{4} \times 1= \frac{1}{5} \times x\\\\\frac{9}{4} = \frac{x}{5}\\\\x = \frac{45}{4} = 11.25[/tex]
Thus 11.25 miles is covered in 1 hour
If she bikes for [tex]1\frac{1}{3}[/tex] hours, we have to find the miles covered
1 hour = 11.25 miles
Therefore,
[tex]\rightarrow 11.25 \times 1\frac{1}{3} = 11.25 \times \frac{4}{3} = 15[/tex]
Thus Sarah covered 15 miles in [tex]1\frac{1}{3}[/tex] hours
