SOLUTION: A pigeon flying against the wind flew 2 miles in 30 minutes. It made the return flight with the same wind in 20 minutes. Find the rate of the Pigeon in still air. Please show th

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Question 1024239: A pigeon flying against the wind flew 2 miles in 30 minutes. It made the return flight with the same wind in 20 minutes. Find the rate of the Pigeon in still air.
Please show the work
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Rate against the wind is the rate in still air () MINUS the wind speed (). Rate with the wind is .

Rate against the wind is 2 miles divided by 1/2 hour = 4 miles per hour

Rate with the wind is 2 miles divided by 1/3 hour = 6 miles per hour

So:





Solve the system for

John

My calculator said it, I believe it, that settles it