SOLUTION: the speed of wind is 6 mph. a hummingbird flies for 24 minutes with the wind to a food source. it takes 36 minutes to return (into the wind) from the food source. find the speed of

Question 995952: the speed of wind is 6 mph. a hummingbird flies for 24 minutes with the wind to a food source. it takes 36 minutes to return (into the wind) from the food source. find the speed of the hummingbird in still air
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert minutes to hours:
hrs
hrs
-------------------
Let = the speed of the hummingbird in still air
= bird's speed flying with the wind
= bird's speed flying against the wind
Let = the one-way distance the bird flies
---------------------------------------
Equation for flying with the wind:
(1)
Equation for flying against the wind:
(2)
-----------------
Substitute (1) into (2)

The speed of the hummingbird in still air is 30 mi/hr
------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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