document.write( "Question 474400: I need help, here is the question, what is the answer, please, please please...\r
\n" ); document.write( "\n" ); document.write( "While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If the total distance of the roundtrip was 640 miles, find the speed driven while returning.
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Algebra.Com's Answer #325460 by lwsshak3(11628)\"\" \"About 
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While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If the total distance of the roundtrip was 640 miles, find the speed driven while returning.
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\n" ); document.write( "let x=returning speed
\n" ); document.write( "x-40=foward speed
\n" ); document.write( "Travel time=distance/speed
\n" ); document.write( "320/(x-40)-320/x=4
\n" ); document.write( "LCD: x(x-40)
\n" ); document.write( "320x-320(x-40)=4x(x-4)
\n" ); document.write( "320x-320x+12800=4x^2-16x
\n" ); document.write( "4x^2-16x-12800=0
\n" ); document.write( "Use quadratic formula to solve
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=4, b=-16, c=-12800
\n" ); document.write( "x=[-(-16)ħsqrt((-16)^2-4*4*-12800)]/2*4
\n" ); document.write( "x=[16ħsqrt(205056)]8
\n" ); document.write( "x=(16ħ452.83)/8
\n" ); document.write( "x=58.60
\n" ); document.write( "or
\n" ); document.write( "x=-54.60 (reject, x>0)
\n" ); document.write( "ans:
\n" ); document.write( "Returning speed=58.60 mph
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