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Ramon and Hector ride their bikes at constant rates during a race. Ramon rides 45 miles in 3 hours. The distance, y, in miles, Hector rides in x hours is given by the equation y = 18x. Which statement is true?
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Ramon rides his bike 3 miles per hour faster than Hector rides his bike.

Ramon rides his bike 27 miles per hour faster than Hector rides his bike.

Ramon rides his bike 3 miles per hour slower than Hector rides his bike.

Ramon rides his bike 27 miles per hour slower than Hector rides his bike.

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We will find the speeds of both persons, the correct option is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

Which statement is correct?

First, we know that Ramon rides 45 miles in 3 hours, then its speed is:

S = 45mi/3h = 15mi/h

And we know that Hector position is given by:

y = 18x

Where x is time in hours, so his velocity is 18mi/h.

Then we can see that:

  • Ramon's speed = 15mi/h
  • Hector's speed = 18mi/h

So the correct statement is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

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