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.
Hope this helps!
