The speed of a moving sidewalk at an airport is 6 feet per second. A person can walk 73 feet forward on the moving sidewalk in the same time it takes to walk 8 feet on a non moving sidewalk in the opposite direction. At what rate would a person walk on a non moving sidewalk? So this is going to be a rate times time equal distance problem. One situation is we're walking with the sidewalk, so we're going to have our rate on a non moving sidewalk plus the rate of the sidewalk because the sidewalk is going to make us go faster and we're going to realize that we're going a distance of 73 feet forward. So the time we don't know right now, let's just call it time with or TW. We could solve that and we could say TW equals 73 / X + 6. Now the next piece of information says we're walking eight feet on a non moving sidewalk. So we don't have the rate of the sidewalk now. So we're going to go X for just a non moving sidewalk rate and we got eight distance. So let's call this T of N for non moving sidewalk. So now we're going to say that our TN is just going to equal 8 / X. Now it tells us that those two things take the same amount of time. So we could think of TW equaling TN. So the time walking with the sidewalk is the same as the time walking in the opposite direction of the non moving sidewalk. So we get 73 / X + 6 equaling 8 / X our common denominator X * X + 6, where X is never going to equal 0 or -6. Now we wouldn't expect zero -6 because it's a rate. If rates aren't going to be 0 and rates aren't going to be negative. If a rate is 0, we're not moving at all. So now we're going to multiply by the common denominator, and if we do this correctly, we will get rid of all of the fractional portions and get an easy to solve equation. So we multiply both sides by the common denominator and we realized that over here on the left the X + 6 is cancel leaving A73X and over here on the right the X is cancelled leaving 8 * X + 6. So if we come over here we get 73 X and 8 * X + 6. If we distribute, we get 73 X equal eight X + 48. 73 -, 8 is going to give us 565X equaling. 48X is going to equal 4860 fifth. That isn't going to reduce because 48 we could think of as let's see 4 * 12 or 4 * 4 * 3 or 2 * 2 * 2 * 2 * 3. 65 is obviously not divisible by any of the twos, and the divisibility test for three says we. If we add the digits up, it has to be a multiple of three. 6 + 5 is 11, so it's not divisible by three. So 4860 fifths is our final answer.