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Maya can run 18 miles in 3 hours, and ahe can bike 18 miles in 2 hours. What distance did Maya travel if she ran for t hours and then biked for r hours? ​

Sagot :

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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.

What is the Distance?

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:

  • If Maya ran for 18 miles in  3 hours; &
  • Biked for 18 miles in 2 hours.

Then, if she ran for (t) hours, the distance traveled can be expressed as:

  • 18 miles = 3 hours
  • (x) miles = t hours

[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:

  • 18 miles = 2 hours
  • (y) miles = r hours

[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

Learn more about distance here:

https://brainly.com/question/4931057

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