Mike is driving to see the New York Yankees play. It is 300 miles to the interstate exit that he needs to reach. He drives an average speed of 65 miles an hour. If he has already driven three hours but wants to get to the exit in 1.5 more hours how many miles per hour faster should he drive?
Mike has already driven 65 miles per hour * 3 hours = <<65*3=195>>195 miles.
He has 300 total miles - 195 miles = <<300-195=105>>105 miles to go.
Mike wants to travel 105 miles in 1.5 hours, so he needs to drive 105 miles / 1.5 hours = <<105/1.5=70>>70 miles per hour.
So, Mike needs to drive 70 miles per hour - 65 miles per hour = <<70-65=5>>5 miles per hour faster. Answer: \boxed{5}.