document.write( "Question 996783: Two bikers started at the same corner, one going east, the other going North. One biker is traveling at 3km/h faster than the other. After one hour, the two bikers are 15 kilometres apart. Find the rate of each. \n" ); document.write( "
Algebra.Com's Answer #615096 by anand429(138)\"\" \"About 
You can put this solution on YOUR website!
Let the speeds of bikers be s and (s+3) km/hr respectively.
\n" ); document.write( "So distances covered by them in 1 hr are s*1 and (s+3)*1 kms respectively.
\n" ); document.write( "Since their directions are north and east,
\n" ); document.write( "a right triangle is formed between their final positions and the origin,
\n" ); document.write( "Now the distance between them is 15 kms,
\n" ); document.write( "So,
\n" ); document.write( "\"s%5E2+%2B+%28s%2B3%29%5E2+=+15%5E2\"
\n" ); document.write( "=> \"s%5E2+%2B+3s+-+108+=+0\"
\n" ); document.write( "=> \"%28s%2B12%29%2A%28s-9%29+=+0\"
\n" ); document.write( "=> s = 9 (since s can not be -12)
\n" ); document.write( "SO required speeds are 9 km/hr and 12 km/hr
\n" ); document.write( "
\n" );