SOLUTION: sue rides her bike at a constant speed for 6 hours, helped by a wind of 2 miles per hour. pedaling at the same rate, the trip back against the wind takes 10 hours. find the total r

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: sue rides her bike at a constant speed for 6 hours, helped by a wind of 2 miles per hour. pedaling at the same rate, the trip back against the wind takes 10 hours. find the total r      Log On

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Question 834291: sue rides her bike at a constant speed for 6 hours, helped by a wind of 2 miles per hour. pedaling at the same rate, the trip back against the wind takes 10 hours. find the total round trip distance she travelled
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Sue's speed if no wind is r.
The distance is the same, d, in both directions.

______________________speed__________time_______distance
Helped from Wind_______r+2___________6___________d
Returning Home_________r-2___________10__________d


Rate*Time=Distance

%28r%2B2%296=%28r-2%29%2A10
6r%2B12=10r-20
12=4r-20
4r=32
highlight%28r=8%29, her biking speed if no wind.

Either direction's equation will give the distance, d.
%288%2B2%29%2A6=60
OR
%288-2%2910=60
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60 miles.