Mirror Physics Help: Walking Towards a Mirror at 7 m/s

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SUMMARY

When walking towards a mirror at 7 m/s, you and your image approach each other at a combined speed of 14 m/s. This is due to the fact that the distance between you and your image decreases at twice the speed of your movement towards the mirror. If you are 100 meters away from the mirror, your image is effectively 100 meters behind the mirror, resulting in a total distance of 200 meters that closes at 14 m/s.

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Homework Statement


If you are walking towards a mirror at 7 m/s, how fast are you and your image approaching each other? Answer in m/s.


Homework Equations


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The Attempt at a Solution


I'm not sure how to solve this mathmatically but when I first looked at this question, I just automatically thought that the answer should be 7 m/s. Why or why not is that correct?
 
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Say you're 100m away from the mirror, in the image, how far away from the mirror (THROUGH) the mirror will your image be? use the mirror as a central point and then draw where you and your image are.
 

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