Explanation Given: The time taken by the plane to fly 1500 miles instead of 1200 mileswith the wind is 2 1 2 hours. The return trip takes 3 hours. Consider the speed of the plane in still air be x and the speed of the wind be y . Find the speed of the plane against the wind, Recall the formula of speed. speed = distance time As the height of the plane is increased from 1200 to 1500, substitute 1500 miles for distance and 3 hours for time. speed = 1500 miles 3 hours = 500 miles/hour Find the speed of the plane with the wind, Recall the formula of speed. speed = distance time Substitute 1500 miles for distance and 2 1 2 hours for time. speed = 1500 miles 2 .5 hours = 600 miles/hour Write the equation of speed of plane with the wind. x + y = 600 …… (1) Thus, the sum of the speed of plane and the wind is 600 miles/hour , instead of 480 miles/hour . Write the equation of speed of plane against the wind. x − y = 500 …… (2) Thus, the sum of the speed of plane and the wind is 500 miles/hour , instead of 400 miles/hour

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 4.3, Problem 4QQ

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Explain the procedure to set up the two equationswhen the height of the plane is 1500 miles instead of 1200 miles.

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Explain the procedure to set up the two equationswhen the height of the plane is 1500 miles instead of 1200 miles.

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Explain the procedure to set up the two equationswhen the height of the plane is 1500 miles instead of 1200 miles.

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