OK, since no mathmeticians have jumped in I will do the work myself. Here is a puzzler for anybody wanting to try. I'll post the answer later.
While driving home through Montana today I figured out how far away the Harley's appeared on that stretch of highway if they were oncoming cars,
about 8/10 mile.
Here's the puzzle. A person (me) wants to pass a semi and five cars that are going 65 mph in a 70 mph zone. The cars are following each other and the truck about two car lengths apart. I am following the last car about two car lengths back and, because I am such a careful driver, I want to give the truck a full semi length of space before pulling back in. There is an oncoming car about 0.8 miles down the road probably doing 75 mph. As I pass the line of vehicles I will do 90 mph. Is this a safe pass and what will be the distance betweem me and the oncoming car when I pull back into my lane?