With about (20 mathrm{~min}) to spare, you walk leisurely from your dorm to class, which is (1.0

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With about \(20 \mathrm{~min}\) to spare, you walk leisurely from your dorm to class, which is \(1.0 \mathrm{~km}\) away. Halfway there, you realize you have forgotten your notebook and run back to your dorm. You walked \(6.0 \mathrm{~min}\) before turning around, and you travel three times as far per unit of time running as you do when walking. What are

(a) the \(x\) component of your average velocity and

(b) your average speed over the entire trip?

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