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A man and a woman agree to meet at a cafe about noon. If the man...

A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:35 and 12:10 and if the woman independently arrives at a time uniformly distributed between 11:55 and 12:55, what is the probability that the first to arrive waits no longer than 15 minutes?

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