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Maya can run 18 miles in 3 hours, and she 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 :

The distance Maya traveled is (6t + 9r) miles

Speed, distance and time

From the question, we are to determine the distance Maya traveled

First, we will determine the speed at which she runs and the speed at which she bikes

Using the formula,

[tex]Speed = \frac{Distance}{Time}[/tex]

  • Running

Distance = 18 miles

Time = 3 hours

Then,

Speed = [tex]\frac{18}{3}[/tex]

Speed = 6 miles/hour

  • Biking  

Distance = 18 miles

Time = 2 hours

Then,

Speed = [tex]\frac{18}{2}[/tex]

Speed = 9 miles/hour

Now, for the distance she ran for t hours

From

Distance = Speed × Time

Distance = 6 × t

Distance = 6t miles

For the distance she bikes for r hours

Distance = 9 × r

Distance = 9r miles

Total distance traveled = 6t + 9r miles

Hence, the distance Maya traveled is (6t + 9r) miles

Learn more on Speed, distance and time here: https://brainly.com/question/25141502

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