Assignment:
Mr. Earl E. Bird leaves his house for work at exactly 8 a.m. every morning. When he averages 40 mph, he arrives at his workplace 3 minutes late, but when he averages 60 mph he arrives at his workplace 3 minutes early. What is the average speed he needs to get to work exactly on time?
Provide complete and step by step solution for the question and show calculations and use formulas.