document.write( "Question 182118: Please help me solve this. I have no idea!
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document.write( "At the beginning of a walk, Roberto and Juanita are 3.3 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other they meet in 1 hour. What are Roberto and Juanita's speeds?\r
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document.write( "Thank you so much! \n" );
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Algebra.Com's Answer #136708 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At the beginning of a walk, Roberto and Juanita are 3.3 miles apart. If they \n" ); document.write( " leave at the same time and walk in the same direction, Roberto overtakes \n" ); document.write( " Juanita in 11 hours. If they walk towards each other they meet in 1 hour. \n" ); document.write( " What are Roberto and Juanita's speeds? \n" ); document.write( ": \n" ); document.write( "Let x = R's speed \n" ); document.write( "Let y = J's speed \n" ); document.write( ": \n" ); document.write( "when they walk the same direction the speeds are subtracted \n" ); document.write( "when they walk toward each other the speeds are added \n" ); document.write( ": \n" ); document.write( "write a distance equation for each \n" ); document.write( "11(x - y) = 3.3 \n" ); document.write( "and \n" ); document.write( "1(x + y) = 3.3 \n" ); document.write( ": \n" ); document.write( "Simplify the 1st equation, divide by 11, then add to the 2nd equation; \n" ); document.write( "x - y = .3 \n" ); document.write( "x + y = 3.3 \n" ); document.write( "-------------adding eliminates y \n" ); document.write( "2x = 3.6 \n" ); document.write( "x = \n" ); document.write( "x = 1.8 mph is R's speed \n" ); document.write( ": \n" ); document.write( "find y using x + y = 3.3 \n" ); document.write( "1.8 + y = 3.3 \n" ); document.write( "y = 3.3 - 1.8 \n" ); document.write( "y = 1.5 mph is J's speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in 1st original equation \n" ); document.write( "11(1.8-1.5) = \n" ); document.write( "11 * .3 = 3.3; confirms our solution \n" ); document.write( " |