Puzzle #60

Two bicyclists 30 miles apart begin riding toward each other along a straight bike path. The instant they started, a hummingbird on the handle of one bicycle started flying directly toward the other cyclist. As soon as it reach the other bicycle, it immediately turned and started back toward the first bicycle. The hummingbird continued back and forth between the two bicycles until they meet in the middle of the bike path.

If each bicyclist travels at 10 miles per hour, and the hummingbird maintains a constant speed of 18 miles per hour, how far did the hummingbird fly?

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