document.write( "Question 474400: I need help, here is the question, what is the answer, please, please please...\r
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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. \n" );
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Algebra.Com's Answer #325460 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "** \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( " \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 \n" ); document.write( " |