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Marcus can walk 1 mile to the library in the same time he can bicycle 2.5 miles to the sporting goods store. His speed on the bicycle is 6 ml/h fasterthan his walking speed. What is his speed walking?13 ml/h10 ml/h4 mi/h5.2 ml/h

Respuesta :

Answer:

4 miles per hour

Explanation:

Let s represent Marcus' walking speed.

Therefore, bicycle speed = s + 6.

The relationship between speed(s), distance(d) and time(t) can be expressed mathematically as shown below;

[tex]\begin{gathered} s=\frac{d}{t} \\ t=\frac{d}{s} \end{gathered}[/tex]

From the question, we can see that walking time = bicycle time.

So we'll have;

[tex]\begin{gathered} \text{walk time = bicycle time} \\ \frac{1}{s}=\frac{2.5}{s+6}_{} \\ s+6=2.5s \\ 2.5s-s=6 \\ 1.5s=6 \\ s=\frac{6}{1.5} \\ s=4 \end{gathered}[/tex]

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