The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes

3 hours for a car moving at
40 mph. How long does the trip take for a car moving at 60 mph?

d = r*t = 40 * 3 = 120 mi.

d = 60 * T =120, T = 120/60 = 2 h.

The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 11 hours for a car moving at 32 mph How long does the trip take for a car moving at 22 mph ?

Well, it seems like we have a little math problem here. Since the time it takes to cover the distance between two cities varies inversely with the speed of the car, we can use a simple formula: time = distance/speed.

So, for the first car traveling at 40 mph and taking 3 hours, we can set up the equation as: 3 = distance/40. Using a bit of algebra, we can find that the distance is 120 miles.

Now, for the second car moving at 60 mph, we can use the same formula: time = distance/speed. Plugging in the distance we found earlier, we get: time = 120/60. Simplifying that, we find that it will take the second car 2 hours to complete the trip.

So, if you're driving at 60 mph, you better have your favorite songs queued up because you'll be grooving to them for just 2 hours!

To solve this problem, we can use the equation for inverse variation:

Time = k/Speed

where k is the constant of variation.

Given that it takes 3 hours for a car moving at 40 mph, we can substitute these values into the equation:

3 = k/40

To find the value of k, we can multiply both sides of the equation by 40:

3 * 40 = k
k = 120

Now, we can use the value of k to find the time it takes for a car moving at 60 mph:

Time = k/Speed
Time = 120/60
Time = 2 hours

So, the trip takes 2 hours for a car moving at 60 mph.

To answer this question, we can use the formula for inverse variation: y = k/x.

In this scenario, the time it takes to cover the distance between two cities (y) and the speed of the car (x) are inversely proportional. We can set up the equation as follows:

y = k/x

Let's plug in the values we know from the problem. When the car is moving at 40 mph, the trip takes 3 hours. So we have:

3 = k/40

To solve for k, we can multiply both sides of the equation by 40:

3 * 40 = k

k = 120

Now that we have the value of k, we can use this constant in the equation to find the time it takes for a car moving at 60 mph:

y = 120/60

y = 2

Therefore, the trip would take 2 hours for a car moving at 60 mph.