Two cyclists ride toward each other on a straight, 24 km road.
One cyclist travels at 3 km/hr and the other at 5 km/hr.
A bug starts on the handlebars of one bike and flies at 10 km/hr in
a straight line toward the other bike, then turns around
without stopping and flies back to the first bike.
When the bug reaches the first bike, it immediately turns around
and heads back to the second bike.
The bug continues flying back and forth like this at the same rate
until the two cyclists meet.

What is the total distance that the bug travels?


Solution to the Problem:

          The bug travels 30 km.

The cyclists close in on each other at a rate of 5 + 3 = 8 km/hr,
so they meet in 3 hours.
The bug, flying continuously for these 3 hours at 10 km/hr, travels 30 km.


Correctly solved by:

1. James Alarie Flint, Michigan
2. Chad Fore Gate City, Virginia
3. Alp Aribal Istanbul, Turkey
4. John Funk Ventura, California