How long will it take you to ski a distance of 24 miles at a speed of 6 miles per 30 minuets

1 answer:

7 0

$\bf \begin{array}{ccll} miles&minutes\\ \cline{1-2} 6&30\\ 24&x \end{array}\implies \cfrac{6}{24}=\cfrac{30}{x}\implies x=\cfrac{24\cdot 30}{6}\implies \stackrel{\textit{2 hours}}{x=120}$

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Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

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$\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}$

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

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