SOLUTION: Pat biked 1 mile in 3 minutes with the wind at her back, and then she returned in 4 minutes riding against the wind. What was the speed of wind?

Question 558016: Pat biked 1 mile in 3 minutes with the wind at her back, and then she returned in 4 minutes riding against the wind. What was the speed of wind?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Pat biked 1 mile in 3 minutes with the wind at her back, and then she returned in 4 minutes riding against the wind. What was the speed of wind?
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There's no simple or well-defined relation between wind speed and bike speed.
You ever ridden a bike?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her speed with no wind
Let = the wind speed
= biking speed with the wind
= biking speed against the wind
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given:
(1)
(2)
-------------------
(1)
(2)
Multiply both sides of (1) by
and both sides of (2) by
Then add the equations
(1)
(2)

mi/min
mi/min x min/mi = mi/hr
and
(1)
(1)
(1)
(1)
(1) mi/min
mi/min x min/hr = mi/hr
The wind speed was 2.5 mi/hr
check answer:
(1) (note that min = hrs)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
'OK
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