document.write( "Question 567238: Two skiers are 105 kilometers apart and head towards each other. They meet in 3.5 hours. If the second skier is 8 kilometers per hour faster the the other, find the speed of each skier? \n" ); document.write( "
Algebra.Com's Answer #366574 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two skiers are 105 kilometers apart and head towards each other. \n" ); document.write( "They meet in 3.5 hours. \n" ); document.write( " If the second skier is 8 kilometers per hour faster the the other, find the speed of each skier? \n" ); document.write( ": \n" ); document.write( "When they do meet, their travel distances total 105 km \n" ); document.write( ": \n" ); document.write( "Let s = the speed of one skier \n" ); document.write( "then \n" ); document.write( "(s+8) = speed of the other skier \n" ); document.write( "; \n" ); document.write( "Write a distance equation, dist = speed * time \n" ); document.write( "3.5s + 3.5(s+8) = 105 \n" ); document.write( "3.5s + 3.5s + 28 = 105 \n" ); document.write( "7s = 105 - 28 \n" ); document.write( "7s = 77 \n" ); document.write( "s = 77/7 \n" ); document.write( "s = 11 km/hr is the speed of one skier \n" ); document.write( "and \n" ); document.write( "11 + 8 = 19 km/hr speed of the other skier \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this by finding the distance each traveled \n" ); document.write( "3.5*11 = 38.5 km \n" ); document.write( "3.5*19 = 66.5 \n" ); document.write( "--------------- \n" ); document.write( "total d: 105 \n" ); document.write( " |