document.write( "Question 454830: I need help setting up the following word problem, please.\r
\n" );
document.write( "\n" );
document.write( "Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. How long would it take if they worked together?\r
\n" );
document.write( "\n" );
document.write( "I'm not sure how to do this type of problem, therefore I am unsure if I'm even on the right track.\r
\n" );
document.write( "\n" );
document.write( "I believe it is set up like this 6+5=11 divided by 2? \n" );
document.write( "
Algebra.Com's Answer #312244 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. \n" ); document.write( " How long would it take if they worked together? \n" ); document.write( ": \n" ); document.write( "Let t = time required when they work together \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "A shared work equation (Each will do a fraction of the job, the two fractions add up to 1): \n" ); document.write( " \n" ); document.write( "Multiply by 30, results \n" ); document.write( "5t + 6t = 30 \n" ); document.write( "11t = 30 \n" ); document.write( "t = \n" ); document.write( "t = 2.73 hrs working together, 2 + .73(60) = 2 hrs 44 min \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check that \n" ); document.write( "2.73/6 + 2.73/5 = \n" ); document.write( " .455 + .546 = 1.00 hrs; confirms our solution of t = 2.73 hrs \n" ); document.write( " |