document.write( "Question 850970: Jasmine wants to run a marathon.she knows she will have to walk some of 26.2 miles but she wants to finish in 5 hrs.she plans to run 10 minute miles and walk 15 minute miles.If x is no of minutes she runs and y is minutes she walks, what equation relates x and y to the goal of coveting 26.2 miles? \n" ); document.write( "
Algebra.Com's Answer #512513 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Jasmine wants to run a marathon.she knows she will have to walk some of 26.2 miles \n" ); document.write( " but she wants to finish in 5 hrs. \n" ); document.write( "she plans to run 10 minute miles and walk 15 minute miles. \n" ); document.write( "If x is no of minutes she runs and y is minutes she walks, \n" ); document.write( "what equation relates x and y to the goal of coveting 26.2 miles? \n" ); document.write( ": \n" ); document.write( "I'd do it this way \n" ); document.write( "let x = no. mile she runs and y = no.miles she walks \n" ); document.write( ": \n" ); document.write( "Write two equations, one for distance & one for time \n" ); document.write( "Since we are using minutes, convert 5 hrs to 300 min \n" ); document.write( "x + y = 26.2 \n" ); document.write( "and \n" ); document.write( "10x + 15y = 300 \n" ); document.write( "simplify, divide by 5 \n" ); document.write( "2x + 3y - 60 \n" ); document.write( "multiply the first equation by 3, subtract the ab0ve equation \n" ); document.write( "3x + 3y = 78.6 \n" ); document.write( "2x + 3y = 60 \n" ); document.write( "-------------subtraction eliminates y, find x \n" ); document.write( "x = 18.6 mi running \n" ); document.write( "then \n" ); document.write( "26.2 - 18.6 = 7.6 mi walking \n" ); document.write( ":\" \n" ); document.write( "Find the no. of minutes she runs and walks \n" ); document.write( "10*18.6 = 186 min running \n" ); document.write( "15*7.6 = 114 min walking \n" ); document.write( "------------------------ \n" ); document.write( "total time; 300 min which is 5 hrs \n" ); document.write( " |