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One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I take the same path and jog at a slower rate of 16 - x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.

 Dec 30, 2020
 #1
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Speed = distance/time

so

distance = speed *time

 

Use this formula to find the distance on the way there,

and then again to find the distance on the way back.

 

Then put the 2 distances equal and solve the arising equation.                                                                                                         

Try it yourself, if you get stuck then show what you have done and ask for more assistance.

 Dec 30, 2020

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