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)![]() ![]() ![]() 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( " |