document.write( "Question 941565: If it takes 3men 56hours to dig a hole 4mX6mX5m, and two of the men work twice
\n" );
document.write( "as fast as the third,find the number of hours that will take the two faster men to dig this hole together. ( answer is 70hours - show your solution ) \n" );
document.write( "
Algebra.Com's Answer #573985 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! If it takes 3men 56hours to dig a hole 4mX6mX5m, and \n" ); document.write( " two of the men work twice as fast as the third,\r \n" ); document.write( "\n" ); document.write( "let t = time required by the faster man to do the job alone \n" ); document.write( "then \n" ); document.write( "2t = time required by the slower man alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "A shared work equation for the three men \n" ); document.write( " \n" ); document.write( "multiply equation by 2t, cancel the denominators and you have: \n" ); document.write( "56 + 2(56) + 2(56) = 2t \n" ); document.write( "56 + 112 + 112 \n" ); document.write( "280 = 2t \n" ); document.write( "t = 280/2 \n" ); document.write( "t = 140 hrs alone, the faster guy \n" ); document.write( ": \n" ); document.write( " find the number of hours that will take the two faster men to dig this hole together. \n" ); document.write( "let x = no. hrs the two working together \n" ); document.write( " \n" ); document.write( "multiply by 140 \n" ); document.write( " x + x = 140 \n" ); document.write( "2x = 140 \n" ); document.write( "x = 70 hrs, the two faster guys working \n" ); document.write( " |