document.write( "Question 201939: Hi Please help me answer this hard word problem.\r
\n" ); document.write( "\n" ); document.write( "An Airplane whose speed in still air is 530mi/h carries enough fuel for 10 hours of flight. On a certain flight it flies against a wind of 30 mi/h. On the return flight it travels with a wind of 30 mi/h. How far can the plane fly without refueling? \r
\n" ); document.write( "\n" ); document.write( "Thank you Very much,
\n" ); document.write( "Leo
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Algebra.Com's Answer #152171 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
during the flight (against the wind) the speed is 500mph (530-30)\r
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\n" ); document.write( "\n" ); document.write( "during the return (with the wind) the speed is 560mph (530+30)\r
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\n" ); document.write( "\n" ); document.write( "the distance (out and back) is the same for both trips\r
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\n" ); document.write( "\n" ); document.write( "if \"t\" is the time for the flight, then \"10-t\" is the time for the return\r
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\n" ); document.write( "\n" ); document.write( "d = r * t, so, ___ 500 * t = 560 * (10 - t)\r
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\n" ); document.write( "\n" ); document.write( "500t = 5600 - 560t\r
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\n" ); document.write( "\n" ); document.write( "1060t = 5600\r
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\n" ); document.write( "\n" ); document.write( "t = 5600 / 1060 = 280 / 53\r
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\n" ); document.write( "\n" ); document.write( "substituting ___ d = 500 * 280 / 53 = 2641.5 mi (approx) one way
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