document.write( "Question 1116655: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph when the boys meet halfway between their houses, they will continue to the park together. How long will that take? How far will each boy have ridden? \n" ); document.write( "
Algebra.Com's Answer #731678 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Bryan and Yuan started out at their houses and are biking towards each other. \n" ); document.write( " Brian started out first, and has already gone 5 miles. \n" ); document.write( " He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph \n" ); document.write( " when the boys meet halfway between their houses, they will continue to the park together. \n" ); document.write( " How long will that take? How far will each boy have ridden? \n" ); document.write( ": \n" ); document.write( "Since they meet half way, we know they rode the same distance. \n" ); document.write( "let t = the time Yuan rides to meet Bryan \n" ); document.write( "\" \n" ); document.write( "write a distance equation, dist = speed * time \n" ); document.write( "B's dist = Y's dist \n" ); document.write( "3t + 5 = 4t \n" ); document.write( "5 = 4t - 3t \n" ); document.write( "5 = t \n" ); document.write( "5 hrs riding by Yuan \n" ); document.write( "5 + \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the distance they rode \n" ); document.write( "5 * 4 = 20 mi by Yuan \n" ); document.write( "6 |