Two cyclists are racing towards each other. The initial distance
between them is 30 miles. The speed of the first cyclist is 6 mph
and the speed of the second cyclist is 9 mph. A bee sits on the
front wheel of the first cyclist. As soon as he departs, the bee
immediately flies towards the second cyclist. When the bee
meets him, it makes a turn and flies back. She meets the first
one and makes another turn. It continues flying back and forth
until the two cyclists meet. If the speed of the bee is 10 mph,
what is the distance it covered?