SOLUTION: Hummingbirds can fly 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

Question 816061: Hummingbirds can fly 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 at an average speed of 11 miles per hour and then returns north 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? (Please show the equation, all solving steps, and state your final answer. Thank you!)
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = D / t
---
south:
s = D / t
11 = D / a
11a = D
---
north:
s = D / t
37 = D / b
37b = D
---
a + b = 23.5 hours
a = 23.5 - b
---
D = 11a = 37b
11(23.5 - b) = 37b
258.5 - 11b = 37b
48b = 258.5
---
b = 5.3854167 hours
a = 18.114583 hours
---
D = 37b
D = 37(5.3854167)
D = 199.260 miles
---
Answer:
the total distance that the hummingbird travels: 398.5 miles
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