document.write( "Question 598124: a tortoise and a hare decide to reenact the fabled race between their species, but this time with a slight twist. They start at the same place, but to be fair, the hare gives the tortoise a 40- second head start. If the tortoise runs at a constant speed of 3 meters per second, and the hare runs at a constant speed of 11 meters per second, how many meters will the hare run until he catches the tortoise? \n" ); document.write( "
Algebra.Com's Answer #378462 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a tortoise and a hare decide to reenact the fabled race between their species, but this time with a slight twist.
\n" ); document.write( "------------------------------------
\n" ); document.write( "They start at the same place, but to be fair, the hare gives the tortoise a 40- second head start. If the tortoise runs at a constant speed of 3 meters per second, and the hare runs at a constant speed of 11 meters per second, how many meters will the hare run until he catches the tortoise?
\n" ); document.write( "--------------------------------
\n" ); document.write( "Hare DATA:
\n" ); document.write( "time = x sec ; rate = 11 m/s ; distance = 11x meters
\n" ); document.write( "----
\n" ); document.write( "Tortoise DATA:
\n" ); document.write( "time = x sec ; rate = 3 m/s ; distance = 3x meters
\n" ); document.write( "----
\n" ); document.write( "Equations:
\n" ); document.write( "t-distance + t-distance = h-distance
\n" ); document.write( "3x + 3*40 = 11x
\n" ); document.write( "3x + 120 = 11x
\n" ); document.write( "8x = 120
\n" ); document.write( "x = 15 seconds
\n" ); document.write( "---
\n" ); document.write( "Hare distance: 11x = 165 meters
\n" ); document.write( "====================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );