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.