A plane flies 2000 miles in 8 hours, with a tailwind all the way. The return trip on the same route, now with a headwind takes 10 hours. Assuming both remain constant, find the speed of the plane and the speed of the wind. I [Hint: If x is the plane's speed and y the wind speed (in mph), then the plane travels to its destination at xty mph because the plane and the wind go in the same direction; on the return trip, the plane travels at x-y mph.] The speed of the plane is mph.
A plane flies 2000 miles in 8 hours, with a tailwind all the way. The return trip on the same route, now with a headwind takes 10 hours. Assuming both remain constant, find the speed of the plane and the speed of the wind. I [Hint: If x is the plane's speed and y the wind speed (in mph), then the plane travels to its destination at xty mph because the plane and the wind go in the same direction; on the return trip, the plane travels at x-y mph.] The speed of the plane is mph.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 2GP
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![A plane flies 2000 miles in 8 hours, with a tailwind all the way. The return trip on the
same route, now with
a headwind takes 10 hours.
Assuming both remain constant, find the speed of the plane and the speed of the wind.
I
[Hint: If x is the plane's speed and y the wind speed (in mph), then the plane travels to
its destination at xty
mph because the plane and the wind go in the same direction; on the return trip, the
plane travels at x-y mph.]
The speed of the plane is mph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F312de20a-253d-4366-a119-2f34c19d25d5%2F828b137b-2617-4983-b75b-958c39af6ca8%2Ffb09a7.jpeg&w=3840&q=75)
Transcribed Image Text:A plane flies 2000 miles in 8 hours, with a tailwind all the way. The return trip on the
same route, now with
a headwind takes 10 hours.
Assuming both remain constant, find the speed of the plane and the speed of the wind.
I
[Hint: If x is the plane's speed and y the wind speed (in mph), then the plane travels to
its destination at xty
mph because the plane and the wind go in the same direction; on the return trip, the
plane travels at x-y mph.]
The speed of the plane is mph.
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