<p>If a plane can travel 480 miles per hour with te wind and 400 miles against t
ID: 3099435 • Letter: #
Question
<p>If a plane can travel 480 miles per hour with te wind and 400 miles against the wind. What is the speed of the plane in still air? __________ miles per hour</p><p> </p>
<p>I think the solution should be setup like this...              s+w=480</p>
<p>                                                                                   s-w=400</p>
<p>                                                                                  ____________</p>
<p>                                                                                2s=880</p>
<p>                                                                                 s=440mph</p>
<p>Am I doing this correct?</p>
Explanation / Answer
let's define two variables: x = speed of airplane in still air y = speed of wind when airplane travels with the wind, the wind aides the airplane in going faster x+y = 480 when airplane travels against the wind, the wind hinders the airplane thus slowing it down x - y = 400 Solve the system by elimination: x+y = 480 x-y = 400 [add the two equations] 2x = 880 x = 440 the speed of the airplane in still air is 400mph; the wind speed is 40mph
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