A bicyclist starts his ride home from a point 10 miles away from his house going 5 miles per hour (assume the road is a perfect straight line). At the same time, a bee, initially sitting on his helmet (always wear your helmet!), takes off and flies toward the house at the speed of 15 miles per hour.
Upon reaching the house, the bee turns right around and flies back toward the bicyclist. When it reaches him it turns around again and flies back to the house. The bee keeps doing this until the man finally arrives at the house himself.
What total distance did the bee cover by that point in time?
The cyclist and bee travel at constant ~speeds~ (we need the distance not displacement - scalars) Anyway. The Cyclist travels at 5mph, taking him 2 hrs to get home, right?
The question is thus simplified by: "How far does a bee fly at 15mph in 2 hrs?" Which is 30 miles.
One could even say that since the bee travels at thrice the speed of the cyclist, he will travel three times as far (30 miles).
Solution
