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Maya's distance traveled by running for t hours is 6t miles and her distance traveled by biking for r hours is 9r miles.
The distance of an object can be defined as the speed covered in a specified direction over a particular time.
Mathematically;
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
From the given information:
Then, if she ran for (t) hours, the distance traveled can be expressed as:
[tex]\mathbf{18 miles \times t \ hours = (x) \ miles \times 3 hours}[/tex]
[tex]\mathbf{(x) \ miles = \dfrac{18 miles \times t \ hours}{ 3 hours}}[/tex]
x = 6t miles
If she biked for (r) hours, the distance traveled can be expressed as:
[tex]\mathbf{18 miles \times r \ hours = (y) \ miles \times 2 hours}[/tex]
[tex]\mathbf{(y) \ miles = \dfrac{18 \ miles \times r \ hours}{ 2\ hours}}[/tex]
[tex]\mathbf{(y) \ miles = \dfrac{18 \ miles \times r}{ 2}}[/tex]
y = 9r miles
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