Question

A boy cyclist and a girl cyclist are 10 miles apart and pedaling toward each other. The boy's rate is 6 miles per hour, and the girl's rate is 4 miles per hour. There is also a friendly fly zooming continuously back and forth from one bike to the other. If the fly's rate is 5 miles per hour, by the time the cyclists reach each other, how far does the fly fly?

Answer 1

Below

Explanation:

This is not as complicated as it seems ....

The cyclists combined speed is (6+4) = 10 mi/hr

they will cover the 10 miles between them in 10 miles / 10 mi/hr = 1 hr

So the Fly buzzes around at 5 mi/hr and covers 5 miles in the one hour.