SOLUTION: A woman can hike 4mph faster down a trail to Archuletta Lake than she can on the return trip uphill. It takes her 4hr to get to the lake and 6hr to return. What is her speed hiking

Algebra ->  Graphs -> SOLUTION: A woman can hike 4mph faster down a trail to Archuletta Lake than she can on the return trip uphill. It takes her 4hr to get to the lake and 6hr to return. What is her speed hiking      Log On


   

Question 1152023: A woman can hike 4mph faster down a trail to Archuletta Lake than she can on the return trip uphill. It takes her 4hr to get to the lake and 6hr to return. What is her speed hiking down to the lake?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
d, the same distance both ways
                  SPEED         TIME       DISTANCE
Down to Lake       r             4           d
Up to Return       r-4           6           d

%28r%29%284%29=%28r-4%29%286%29

4r=6%28r-4%29
4r=6r-24
2r=3r-12
r=12