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The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hour to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of w, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. A - W (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. 720 = 9(A – W) (c) Express the ground speed on the return trip in terms of A and W. A + W (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. 720 = 6(A+ Ww) (e) Find the airspeed and the speed of the wind. A = 100 W = 100

The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hour to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of w, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. A - W (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. 720 = 9(A – W) (c) Express the ground speed on the return trip in terms of A and W. A + W (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. 720 = 6(A+ Ww) (e) Find the airspeed and the speed of the wind. A = 100 W = 100

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hours to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of W, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. A - W (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. 720 = 9(A - W) (c) Express the ground speed on the return trip in terms of A and W. A + W (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. 720 = 6(A+ W) (e) Find the airspeed and the speed of the wind. A = 100 W = 100 Need Help? Read It
Transcribed Image Text:The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hours to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of W, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. A - W (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. 720 = 9(A - W) (c) Express the ground speed on the return trip in terms of A and W. A + W (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. 720 = 6(A+ W) (e) Find the airspeed and the speed of the wind. A = 100 W = 100 Need Help? Read It
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