The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 15 hours for a car moving at 54 mph. What is the speed of a car that makes the trip in 27 hours?

time=27/15* 54 mph

oops

speed=15/27 * 54 mph

Thank you!

To find the speed of a car that makes the trip in 27 hours, we can use the inverse variation formula. The formula is represented as follows:

time = k ÷ speed

Where time is the time taken to cover the distance, speed is the speed of the car, and k is a constant of variation.

First, we need to find the value of k using the information given. We are told that the trip takes 15 hours for a car moving at 54 mph. Let's substitute these values into the formula to find k:

15 = k ÷ 54

To find k, we can rearrange the equation:

k = 15 × 54

k = 810

Now that we have the value of k, we can use it to find the speed of a car that makes the trip in 27 hours:

27 = 810 ÷ speed

To find the speed, we can rearrange the equation:

speed = 810 ÷ 27

speed = 30

Therefore, the speed of a car that makes the trip in 27 hours is 30 mph.