document.write( "Question 401240: Beverly can drive 600 miles in the same time Susan can drive 500 miles. If Beverly can drive 10 mph faster than Susan, how fast does Beverly drive? i know this is the D=r*t formula, but the answer I got was 1/2. so i just think i have the set up the equation wrong. \n" ); document.write( "
Algebra.Com's Answer #283929 by nerdybill(7384)\"\" \"About 
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Beverly can drive 600 miles in the same time Susan can drive 500 miles. If Beverly can drive 10 mph faster than Susan, how fast does Beverly drive? i know this is the D=r*t formula, but the answer I got was 1/2. so i just think i have the set up the equation wrong.
\n" ); document.write( ".
\n" ); document.write( "Let x = time driven by Beverly and Susan
\n" ); document.write( "and y = speed of Susan
\n" ); document.write( "then
\n" ); document.write( "y+10 = speed of Beverly
\n" ); document.write( ".
\n" ); document.write( "from:\"Beverly can drive 600 miles\"
\n" ); document.write( "x(y+10) = 600 (equation 1)
\n" ); document.write( ".
\n" ); document.write( "from:\"Susan can drive 500 miles\"
\n" ); document.write( "xy = 500 (equation 2)
\n" ); document.write( ".
\n" ); document.write( "Solve equation 2 for x:
\n" ); document.write( "x = 500/y
\n" ); document.write( ".
\n" ); document.write( "Substitute above into equation 1:
\n" ); document.write( "x(y+10) = 600
\n" ); document.write( "(500/y)(y+10) = 600
\n" ); document.write( "500(y+10) = 600y
\n" ); document.write( "500y+5000 = 600y
\n" ); document.write( "5000 = 100y
\n" ); document.write( "5000/100 = y
\n" ); document.write( "50 mph = y (speed of Susan)
\n" ); document.write( ".
\n" ); document.write( "Beverly's speed:
\n" ); document.write( "y+10 = 50+10 = 60 mph\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );