document.write( "Question 110986This question is from textbook algebra stucture and method
\n" ); document.write( ": An ultralight plane had been flying for 40 min when a change in wind direction doubled its ground speed. The entire trip of 160 mi took 2 h. How far did the plane travel during the first 40 min? \n" ); document.write( "
Algebra.Com's Answer #80966 by stanbon(75887)\"\" \"About 
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An ultralight plane had been flying for 40 min when a change in wind direction doubled its ground speed. The entire trip of 160 mi took 2 h. How far did the plane travel during the first 40 min?
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\n" ); document.write( "Against the wind DATA:
\n" ); document.write( "Time = 2/3 hr. ; distance = x miles ; rate = x/(2/3) = 3x/2 mph
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\n" ); document.write( "With the wind DATA:
\n" ); document.write( "Time = (4/3) hr ; distance = 160-x ; rate = d/t = (160-x)/(4/3) mph\r
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\n" ); document.write( "rate with the wind = 2*rate against the wind
\n" ); document.write( "(160-x)/(4/3) = 2(3x/2)
\n" ); document.write( "3(160-x)/4 = 3x
\n" ); document.write( "480-3x = 12x
\n" ); document.write( "480 = 15x
\n" ); document.write( "x = 32 miles\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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