To determine how long it will take a car to travel 1,350 miles at the same rate of 75 miles per hour, which is found by dividing the distance of 375 miles by the time of 5 hours, the distance is then divided by the speed, which results in the car requiring 18 hours for the trip.
The student's question involves finding out how many hours it will take for a car to travel a certain distance, given that the distance varies directly with time. Using the given information that the car travels 375 miles in 5 hours, we can find the car's average speed by dividing the distance by the time. With the average speed calculated, we can determine how long it will take to travel 1,350 miles by dividing this distance by the average speed.
The calculation for the average speed of the car is simple: 375 miles ÷ 5 hours = 75 miles/hour. To find out how long it will take to travel 1,350 miles at this constant rate, we divide the total distance by the average speed: 1,350 miles ÷ 75 miles/hour. The result is the total time in hours required for the trip.
The car will take 18 hours to travel 1,350 miles at a constant rate of 75 miles per hour.