document.write( "Question 154117: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together? \n" ); document.write( "
Algebra.Com's Answer #113451 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x = amount of time it takes both working together to deliver all the papers\r \n" ); document.write( "\n" ); document.write( "Candy delivers papers at the rate of 1/30 of the route per minute \n" ); document.write( "Tim delivers papers at the rate of 1/90 of the route per min\r \n" ); document.write( "\n" ); document.write( "Together, they deliver papers at the rate of 1/30 + 1/90=3/90 + 1/90=4/90 of the route per min. So, our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(4/90)*x=1 (one paper route, that is, all the papers) multiply each by 90\r \n" ); document.write( "\n" ); document.write( "4x=90 divide each side by 4 \n" ); document.write( "x=22.5 minutes-------------amount of time it takes both to deliver all the papers working together\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( " together they deliver at the rate of 1/22.5 of the route per min\r \n" ); document.write( "\n" ); document.write( "4/90=1/22.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |