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MATH / One day, I decide to run to the park. On the way there, I run at a rate of x² miles per hour for 3 hours. On the way back, I take the same path and jog at a slower rate of 16−4x mi…

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problem

One day, I decide to run to the park. On the way there, I run at a rate of x2x^2 miles per hour for 33 hours. On the way back, I take the same path and jog at a slower rate of 16−4x16 - 4x miles per hour so that it takes me 44 hours to get home. Given that x>0x > 0, what is xx? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
One day, I decide to run to the park. On the way there, I run at a rate of x² miles per hour for 3 hours. On the way back, I take the same path and jog at a slower rate of 16−4x 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.
Original LaTeX notation
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 $16 - 4x$ 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.

level

Level 4

type

Algebra

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task_id
304f39b4-b9dd-5e30-bba1-ebee9d11abda
task_key
algebra--test--304f39b4-b9dd-5e30-bba1-ebee9d11abda
task_revision_id
1
config / split
algebra / test

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