document.write( "Question 928640: A plane traveled 924 miles to Seattle and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. what is the speed of the plane in still air? What is the speed of the wind? \r
\n" ); document.write( "\n" ); document.write( "I have an answer but do not know if it is right. I got 63 mph is how fast the plane is going in still air and I got that the speed of the wind was 21 mph.
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Algebra.Com's Answer #563788 by MathTherapy(10551)\"\" \"About 
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\n" ); document.write( "A plane traveled 924 miles to Seattle and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. what is the speed of the plane in still air? What is the speed of the wind? \r
\n" ); document.write( "\n" ); document.write( "I have an answer but do not know if it is right. I got 63 mph is how fast the plane is going in still air and I got that the speed of the wind was 21 mph.
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\n" ); document.write( "Let speed of plane, in still air, and speed of wind be S, and W, respectively\r
\n" ); document.write( "\n" ); document.write( "Average speed to Seattle: \"924%2F11\", or 84 mph
\n" ); document.write( "Traveling with the wind, we can say that: S + W = 84 ------ eq (i) \r
\n" ); document.write( "\n" ); document.write( "Average speed from Seattle: \"924%2F22\", or 42 mph
\n" ); document.write( "Traveling against the wind, we can say that: S - W = 42 ------ eq (ii)
\n" ); document.write( "2S = 126 ---------- Adding eqs (ii) & (i)
\n" ); document.write( "S, or speed of plane, in still air = \"126%2F2\", or \"highlight_green%2863%29\" mph\r
\n" ); document.write( "\n" ); document.write( "63 + W = 84 -------- Substituting 63 for S in eq (i)
\n" ); document.write( "W = 84 – 63
\n" ); document.write( "W, or speed of wind = \"highlight_green%2821%29\" mph\r
\n" ); document.write( "\n" ); document.write( "You’re 100% correct!! Good job!! \n" ); document.write( "
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