document.write( "Question 416639: Two runners, Bert and Ernie, leave home at the same time and jog in different directions. Bert travels east at a uniform rate that is 2mph faster than Ernie, who is traveling west. After two hours, they are 28 miles apart. Find Bert and Ernie's rate. \n" ); document.write( "
| Algebra.Com's Answer #291869 by stanbon(75887)      You can put this solution on YOUR website! Two runners, Bert and Ernie, leave home at the same time and jog in different directions. \n" ); document.write( "----------------------------- \n" ); document.write( "Bert travels east at a uniform rate that is 2mph faster than Ernie, who is traveling west. \n" ); document.write( "After two hours, they are 28 miles apart. Find Bert and Ernie's rate. \n" ); document.write( "--- \n" ); document.write( "Let Ernie's rate be \"x\" mph \n" ); document.write( "Then Bert's rate is \"x+2\" mph \n" ); document.write( "---- \n" ); document.write( "Their combined separation rate is 2x+2 mph \n" ); document.write( "--- \n" ); document.write( "distance = time*rate \n" ); document.write( "28 = 2*(2x+2) \n" ); document.write( "14 = 2x+2 \n" ); document.write( "2x = 12 \n" ); document.write( "x = 6 mph (Ernie's rate) \n" ); document.write( "x+2 = 8 mph (Bert's rate) \n" ); document.write( "---------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |