To find the distance traveled by a car given the average speed and time traveled, we can use the formula:
distance = speed x time
In this case, the average speed of the car is 48 miles per hour (mph) and the time traveled is 5 hours and 45 minutes.
Before we use this formula, we need to convert the time of 5 hours and 45 minutes into hours. Since there are 60 minutes in 1 hour, we can convert 45 minutes into hours by dividing it by 60:
45 minutes / 60 minutes/hour = 0.75 hours
Now, we can add the time in hours and minutes to get the total time traveled in hours:
5 hours + 0.75 hours = 5.75 hours
Now we can use the formula to find the distance traveled:
distance = speed x time
distance = 48 mph x 5.75 hours
distance = 277 miles
So, the car travels 277 miles in 5 hours and 45 minutes.