Thermodynamics: Pouring Cream into Coffee

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I did a general problem of the perfect time to pour cream into coffee.
I was hoping someone could check my work

It's in the pdf below:

docs(dot)google(dot)com/open?id=0Bx8zdkF5WYAbMl80UjI5U2lmdlU

Thanks
 

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Nvm. I made mistakes ._. I don't know how to delete the post.
 

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