SOLUTION: Sonya walked at a rate of 1/t+a for bt+ab hours. How far did she walk?

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Question 773148: Sonya walked at a rate of 1/t+a for bt+ab hours. How far did she walk?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Let's use the distance formula:d+=+rt where d = distance(miles), r = rate
(speed)(mph), and t =time(hours).
d+=+rt Substitute r+=+1%2F%28t%2Ba%29 and t+=+bt%2Bab
d+=+%281%2F%28t%2Ba%29%29%28bt%2Bab%29 In the second parentheses, factor out a b.
d+=+%281%2Fcross%28%28t%2Ba%29%29%29%28b%2Across%28%28t%2Ba%29%29%29 Cancel the common factor (t%2Ba) to leave you with:
highlight%28d+=+b%29