To find out how long it will take to drive 500 miles at the same rate, you can use the formula:
Time = Distance / Speed
First, calculate the speed at which Sam was driving:
Speed = Distance / Time
Speed = 320 miles / 2.5 hours
Speed = 128 miles per hour
Now, you can find out how long it will take to drive 500 miles at this speed:
Time = 500 miles / 128 miles per hour
Time ≈ 3.90625 hours
So, it will take approximately 3.90625 hours to drive 500 miles at the same rate. You can convert this to hours and minutes, which is about 3 hours and 56 minutes.