document.write( "Question 1162966: It takes an older computer twice as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 25 minutes to send out the email. How long will it take the newer computer to send out the email on its own?
\n" );
document.write( "Do not do any rounding.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #786881 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the rate of work of older computer.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the rate of work of newer computer is 2x, according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The combined rate of work of the two computers is x + 2x = 3x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that 3x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another (mental) solution is like this . . . \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The newer computer works as fast as two older computers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Together, the older and the newer computer work as 3 (three) older computers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since they do the job in 25 minutes, it is the same as to say that three older computers make the job in 25 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, one older computer makes the job in 3*25 = 75 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It implies that the newer computer will complete the job in 75/2 = 37 minutes and 30 seconds. \n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explained with the same answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |