document.write( "Question 107752This question is from textbook intermediate algebra
\n" ); document.write( ": Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" ); document.write( "
Algebra.Com's Answer #78519 by stanbon(75887)\"\" \"About 
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Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
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\n" ); document.write( "1st speed DATA:
\n" ); document.write( "distance = 200 miles; rate = x mph ; time = d/r = 200/x hrs
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\n" ); document.write( "2nd speed DATA;
\n" ); document.write( "distance = 200miles ; rate = x+10 mph ; time = d/r = 200/(x+10)
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\n" ); document.write( "EQUATION:
\n" ); document.write( "1st time - 2nd time = 1 hr
\n" ); document.write( "200/x - 200/(x+10) = 1
\n" ); document.write( "1/x - 1/(x+1) = 1/200
\n" ); document.write( "[x+1-x]/x(x+1) = 1/200
\n" ); document.write( "1/[x(x+1)] = 1/200
\n" ); document.write( "x(x+1) = 200
\n" ); document.write( "x^2+x-200=0
\n" ); document.write( "x = [-1 +- sqrt(1 - 4*-200)]/2
\n" ); document.write( "x = [-1 +- sqrt(801)]/2
\n" ); document.write( "x = 13.65 mph (speed of his vehicle)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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