SOLUTION: Hope bicycles 24 km/h with no wind. Against the wind she bikes 42 km in the same time it takes to bike 54 km with the wind. What is the speed of the wind?

Question 301025: Hope bicycles 24 km/h with no wind. Against the wind she bikes 42 km in the same time it takes to bike 54 km with the wind. What is the speed of the wind?
Found 2 solutions by checkley77, Alan3354:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT
24=RT
42=(24-w) OR T=42/(24-w)
54=(24-w) OR T=54/24+w)
42/(24-w)=54/(24+w)
54(24-w)=42(24+w)
1,296-54w=1,008+42w
-54w-42w=1,008-1,296
-96w=-288
w=-288/-96
w=3 mph is the wind speed.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There is no clear relation between wind speed and biking speed.
The best answer is "No one knows."

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