Keisha drove 792 miles in 11 hours. at the same rate, how long would it take her to drive 576 miles?

To solve this problem, we should set up a proportion. Let's let the unknown number of hours be represented by the variable x. Our proportion should look like this:

792 miles/11 hours = 576 miles/x hours

Because our units are the same on both sides of the equation, we can create the same proportion with just numbers.

792/11 = 576/x

To solve this equation, we can use cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting it equal to the product of the other numerator and denominator.

792 * x = 11 * 576

To begin to simplify, we should perform the multiplication on both sides of the equation.

792x = 6336

To solve, we must divide both sides of the equation by 792 to get the variable x alone on the left side of the equation.

x = 8

Therefore, it would take Keisha 8 hours to drive 576 miles at the same rate.

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