Question 834291
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


{{{(r+2)6=(r-2)*10}}}
{{{6r+12=10r-20}}}
{{{12=4r-20}}}
{{{4r=32}}}
{{{highlight(r=8)}}}, her biking speed if no wind.


Either direction's equation will give the distance, d.
{{{(8+2)*6=60}}}
OR
{{{(8-2)10=60}}}
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60 miles.