### Video Transcript

A car moves a uniform velocity where distance varies directly with time. If the car travels a distance of 231 kilometers in nine hours, how far will it travel in 15 hours?

Itโs very important to know that the distance varies directly with time. Because now we can write an equation based on how the distance and the time are related. ๐ equals ๐๐ก. ๐ is equal to distance and ๐ก is equal to time. ๐ is a variable that lets us know that they vary directly with each other. We know that the distance is 231 kilometers. And the car travelled that distance in nine hours. So we can solve for ๐ by dividing both sides of the equation by nine hours.

231 divided by nine give us the value of the variable ๐ to be around 25.67 kilometers per hour. So now we can create an equation to answer our question: how far will it travel in 15 hours. So we can plug in for ๐. So ๐ equals 25.67 kilometers per hour times ๐ก. So weโre wanting to know how far it will travel, so weโre solving for ๐, in 15 hours. So we need to plug in 15 hours for ๐ก. So first, we can see the hour variables cancel. So weโre left with kilometers, which makes sense because we should be getting a distance.

So we need to take 25.67 times 15. And we find that the car, after 15 hours, will have travelled 385.05 kilometers.