document.write( "Question 770123: How to solve this problem please: At the beginning of a bicycle ride for charity, Yady Saldarriaga and Dane McGuckian are 30 mi. apart. If they leave at the same time and ride in the same direction, Yady overtakes DAne in 6 hours. If they ride toward each other, they pass each other in 1 hr. What are their rates? \n" ); document.write( "
Algebra.Com's Answer #469343 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! At the beginning of a bicycle ride for charity, Yady Saldarriaga and Dane McGuckian are 30 mi. apart. If they leave at the same time and ride in the same direction, Yady overtakes DAne in 6 hours. If they ride toward each other, they pass each other in 1 hr. What are their rates? \n" ); document.write( "------- \n" ); document.write( "Same direction DATA: \n" ); document.write( "===================== \n" ); document.write( "Dane distance = x miles ; time = 6 hrs ;rate = x/6 mph \n" ); document.write( "Yady distance = x + 30 mile ; time = 6 hrs ; rate = (x+30)/6 mph \n" ); document.write( "--------- \n" ); document.write( "Toward each other Equation: \n" ); document.write( "x/6 + (x+30)/6 = 30 \n" ); document.write( "x + x+30 = 180 \n" ); document.write( "2x = 150 \n" ); document.write( "x = 75 miles \n" ); document.write( "---- \n" ); document.write( "Dane rate = 75/6 = 25/2 = 12.5 mph \n" ); document.write( "Yady rate = (75+30)/6 = 105/6 = 17.5 mph \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " \n" ); document.write( " |