Fermats Principle: Find Time of Travel Along Path APB

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onie mti
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How do I find the time of travel along a path say APB of tetha and show it's maximum at P= P(0) considering a ray of light traveling in a vacuum from A to B with reflection at P in the same vertical and as A and B, according to the law of reflection,the actual path goes via point P(0) at the bottom of the hemisphere (theta=0)
 
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onie mti said:
How do I find the time of travel along a path say APB of tetha and show it's maximum at P= P(0) considering a ray of light traveling in a vacuum from A to B with reflection at P in the same vertical and as A and B, according to the law of reflection,the actual path goes via point P(0) at the bottom of the hemisphere (theta=0)
May I be the first to say: Huh?

Is there a diagram to go with this or something? Details!

-Dan