document.write( "Question 62751: Another one I'm stuck on help! A long document prints at a rate of 3 pages per minute. Twenty minutes later the same document is being printed out on a printer that prints at a rate of 5 pages per minute. How long will it take the second printer to catch up to the first printer.\r
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Algebra.Com's Answer #43580 by jai_kos(139)![]() ![]() ![]() You can put this solution on YOUR website! Given the speed of the first printer = 3pages perminute\r \n" ); document.write( "\n" ); document.write( "And the speed of the second printer = 5 pages permintue\r \n" ); document.write( "\n" ); document.write( "We shall use the formula for the speed,\r \n" ); document.write( "\n" ); document.write( "Speed of the first printer = number of pages printed / time taken \r \n" ); document.write( "\n" ); document.write( "=> 3 = number of pages printed / 20 + t \n" ); document.write( " \n" ); document.write( " 3 * (20 +t) = number of pages printed -->(1)\r \n" ); document.write( "\n" ); document.write( "Speed of the second printer = number of pages printed / time taken\r \n" ); document.write( "\n" ); document.write( "=> 5 = number of pages printed / t\r \n" ); document.write( "\n" ); document.write( " 5 * t = number of pages printed -->(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equating equation(1) and (2), we get\r \n" ); document.write( "\n" ); document.write( "3(20 + t) = 5 * t\r \n" ); document.write( "\n" ); document.write( "60 + 3t = 5t\r \n" ); document.write( "\n" ); document.write( "60 = 5t - 3t\r \n" ); document.write( "\n" ); document.write( "60 = 2t\r \n" ); document.write( "\n" ); document.write( "60/2 = t\r \n" ); document.write( "\n" ); document.write( "30 = t\r \n" ); document.write( "\n" ); document.write( "Therefore it will take 30min for the second printer to catch up to the first printer. \n" ); document.write( " \n" ); document.write( " |