Final answer:
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. Given that the trip takes 5 hours for a car moving at 44 mph, we can use this information to find the constant of variation. The speed of a car that makes the trip in 11 hours is 20 mph.
Step-by-step explanation:
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. Inverse variation means that as one variable increases, the other variable decreases. We can use the formula for inverse variation: y = k/x, where y is the time, k is the constant of variation, and x is the speed of the car.
Given that the trip takes 5 hours for a car moving at 44 mph, we can use this information to find the constant of variation. Plugging in the values, we have 5 = k/44. To solve for k, we multiply both sides of the equation by 44: k = 5 * 44 = 220.
Now, we can use the constant of variation to find the speed of a car that makes the trip in 11 hours. Again, using the formula for inverse variation, we have 11 = 220/x. Solving for x, we multiply both sides of the equation by x: x = 220/11 = 20.