This problem can be solved using the formula for inverse variation: y = k/x, where y and x are the variables that are inversely proportional, and k is the constant of variation.

Step 1: Identify the variables in the problem. In this case, the time it takes to cover the distance (y) varies inversely with the speed of the car (x).

Step 2: Use the given information to find the constant of variation (k). We know that the trip takes 6 hours for a car moving at 64 mph, so we can plug these values into the formula: 6 = k/64. Solving for k gives k = 6 * 64 = 384.

Step 3: Use the constant of variation to find the speed of a car that makes the trip in 16 hours. We can plug these values into the formula: 16 = 384/x. Solving for x gives x = 384/16 = 24 mph.

So, a car that makes the trip in 16 hours would be traveling at a speed of 24 mph.

Question

This problem can be solved using the formula for inverse variation: y = k/x, where y and x are the variables that are inversely proportional, and k is the constant of variation.

Step 1: Identify the variables in the problem. In this case, the time it takes to cover the distance (y) varies inversely with the speed of the car (x).

Step 2: Use the given information to find the constant of variation (k). We know that the trip takes 6 hours for a car moving at 64 mph, so we can plug these values into the formula: 6 = k/64. Solving for k gives k = 6 * 64 = 384.

Step 3: Use the constant of variation to find the speed of a car that makes the trip in 16 hours. We can plug these values into the formula: 16 = 384/x. Solving for x gives x = 384/16 = 24 mph.

So, a car that makes the trip in 16 hours would be traveling at a speed of 24 mph.

Knowee AI · Accepted Answer

This problem can be solved using the formula for inverse variation: y = k/x, where y and x are the variables that are inversely proportional, and k is the constant of variation.

Step 1: Identify the variables in the problem. In this case, the time it takes to cover the distance (y) varies inversely with the speed of the car (x).

Step 2: Use the given information to find the constant of variation (k). We know that the trip takes 6 hours for a car moving at 64 mph, so we can plug these values into the formula: 6 = k/64. Solving for k gives k = 6 * 64 = 384.

Step 3: Use the constant of variation to find the speed of a car that makes the trip in 16 hours. We can plug these values into the formula: 16 = 384/x. Solving for x gives x = 384/16 = 24 mph.

So, a car that makes the trip in 16 hours would be traveling at a speed of 24 mph.

The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 6 hours for a car moving at 64 mph. What is the speed of a car that makes the trip in 16 hours?

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