document.write( "Question 1171825: Flying to Abuja with a tailwind a plane averaged 306 km/h. On the return trip the plane only averaged 238 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. \n" ); document.write( "

Algebra.Com's Answer #796728 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let u be the average speed flying with the wind (in km/h), and\r\n" );
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document.write( "let v be the average speed flying into the wind.\r\n" );
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document.write( "Then from the condition\r\n" );
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document.write( "    u + v = 306     (1)\r\n" );
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document.write( "    u - v = 238     (2)\r\n" );
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document.write( "Add the equation and get u\r\n" );
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document.write( "    2u    = 306 + 238 = 544,   u = 544/2 = 272.\r\n" );
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document.write( "Then from equation (1), \r\n" );
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document.write( "    272 + v = 306,   v = 306 - 272 = 34.\r\n" );
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document.write( "ANSWER.  The speed of the plane in still are is  272 km/h;  the speed of the wind is 34 km/h.\r\n" );
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