Two bicyclists are 40 miles apart, riding toward each other at 20 mph (each). A fly starts at on

First, we need to find the time it takes for the two bicyclists to meet. Since they are both rid

Question

Two bicyclists are 40 miles apart, riding toward each other at $20 \mathrm{mph}$ (each). A fly starts at one bicyclist and flies toward the other bicyclist at $60 \mathrm{mph}$. When it reaches the bike, it turns around and flies back to the first bike. It continues flying back and forth until the bikes meet. Determine the distance flown on each leg of the fly's journey and find the sum of the geometric series to get the total distance flown. Verify that this is the right answer by solving the problem the easy way.

          Two bicyclists are 40 miles apart, riding toward each other at $20 \mathrm{mph}$ (each). A fly starts at one bicyclist and flies toward the other bicyclist at $60 \mathrm{mph}$. When it reaches the bike, it turns around and flies back to the first bike. It continues flying back and forth until the bikes meet. Determine the distance flown on each leg of the fly's journey and find the sum of the geometric series to get the total distance flown. Verify that this is the right answer by solving the problem the easy way.

Added by Jorge W.

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