Distance traveled by a fly bouncing between two moving trains

[suporia]

This is not homework but a problem I would like to learn to solve before my exam.

Homework Statement

https://dl.dropbox.com/u/23889576/Screenshots/01.png

Homework Equations

Series Formulae

The Attempt at a Solution

I went about trying to determine a sum formula for the fly's distance traveled but could not get very far. Any help available would be appreciated. Thanks in advance.

 

[tiny-tim]

hi suporia!

show us how far you've got, and where you're stuck, and then we'll know how to help!

 

[suporia]

Hi,

I wasn't sure how to even start approaching the problem (determining the equation for the series).

 

[tiny-tim]

I went about trying to determine a sum formula for the fly's distance traveled but could not get very far.

show us how far you did get

 

[HallsofIvy]

How long until they meet? If the fly is flying at 7 m/s how far does it fly in that time?