SOLUTION: Hummingbirds can fly long distances without stopping. Suppose that a hummingbird flies south for the winter and then returns to the same location in the spring the same way it came
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Question 884614: Hummingbirds can fly long distances without stopping. Suppose that a hummingbird flies south for the winter and then returns to the same location in the spring the same way it came. The hummingbird travels south against a wind at an average speed of 11 miles per hour and then returns north with the wind at an average speed of 37 miles per hour. The hummingbird's total travel time is 23.5 hours. What is the total distance that the hummingbird travels?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
This is a rate * time = distance problem and we are given two equations
t1 + t2 = 23.5
11t1 = 37t2
solve first equation for t1
t1 = 23.5 - t2
substitute in second equation
11(23.5 - t2) = 37t2
258.5 - 11t2 = 37t2
48t2 = 258.5
t2 = 5.39 hours
total distance hummingbird flies is 2 *(37*5.39) = 398.86 miles
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