document.write( "Question 881083: Hi,
\n" ); document.write( "Can somebody please help me out?
\n" ); document.write( "Our teacher instructed us to answer a few questions and I'm unfortunately stuck here on the third which is:
\n" ); document.write( "A motorcycle driver travels 15 kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance.\r
\n" ); document.write( "\n" ); document.write( "I figured it would be something like
\n" ); document.write( "Speed
\n" ); document.write( "Let x = bicycle driver
\n" ); document.write( "x+15 = motorcycle rider
\n" ); document.write( "Time
\n" ); document.write( "Let x = motorcycle driver
\n" ); document.write( "x+2 = bicycle driver
\n" ); document.write( "60 = total\r
\n" ); document.write( "\n" ); document.write( "x+x+2=60
\n" ); document.write( "2x+2=60
\n" ); document.write( "2x+2-60
\n" ); document.write( "2x-58
\n" ); document.write( "x=29\r
\n" ); document.write( "\n" ); document.write( "x+x+15=60
\n" ); document.write( "2x+15=60
\n" ); document.write( "2x+15-60
\n" ); document.write( "2x-45
\n" ); document.write( "x=22.5\r
\n" ); document.write( "\n" ); document.write( "Any help would be appreciated! I'm still trying to solve this though.
\n" ); document.write( "

Algebra.Com's Answer #531942 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Rate*Time=Distance
\n" ); document.write( "\"R%5Bm%5D=15%2BR%5Bb%5D\"
\n" ); document.write( "\"D=60\"
\n" ); document.write( "\"T%5Bm%5D=T%5Bb%5D-2\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "1.\"R%5Bm%5D%2AT%5Bm%5D=60\"
\n" ); document.write( "2.\"R%5Bb%5D%2AT%5Bb%5D=60\"\r
\n" ); document.write( "\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"%2815%2BR%5Bb%5D%29%28T%5Bb%5D-2%29=60\"
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"R%5Bb%5D=60%2FT%5Bb%5D\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"%2815%2B60%2FT%5Bb%5D%29%28T%5Bb%5D-2%29=60\"
\n" ); document.write( "\"15T%5Bb%5D-30%2B60-120%2FT%5Bb%5D=60\"
\n" ); document.write( "\"15T%5Bb%5D-120%2FT%5Bb%5D=30\"
\n" ); document.write( "\"15T%5Bb%5D%5E2-120=30T%5Bb%5D\"
\n" ); document.write( "\"15T%5Bb%5D%5E2-30T%5Bb%5D-120=0\"
\n" ); document.write( "\"T%5Bb%5D%5E2-2T%5Bb%5D-8=0\"
\n" ); document.write( "\"%28T%5Bb%5D-4%29%28T%5Bb%5D%2B2%29=0\"
\n" ); document.write( "Only the positive solution make sense for time,
\n" ); document.write( "\"T%5Bb%5D-4=0\"
\n" ); document.write( "\"T%5Bb%5D=4\"
\n" ); document.write( "Then
\n" ); document.write( "\"R%5Bb%5D=60%2F4\"
\n" ); document.write( "\"R%5Bb%5D=15\"
\n" ); document.write( "and
\n" ); document.write( "\"R%5Bm%5D=15%2B15\"
\n" ); document.write( "\"R%5Bm%5D=30\"
\n" ); document.write( "and
\n" ); document.write( "\"T%5Bm%5D=4-2\"
\n" ); document.write( "\"T%5Bm%5D=2\"
\n" ); document.write( "
\n" ); document.write( "
\n" );