You and two friends want to meet up at a location equally distant from each of your homes. One of your friends lives 4 miles north of your home and the other lives 4 miles east. Determine the best place to meet such that you each travel the same distance to that point. A third friend will ride her bicycle to your meeting point from her home 4 miles nortliwest of your home. Assume that you and your first two friends walk at 4 miles per hour, what speed should the third friend ride to meet the group? Fully explain your answer in essay format to show your work