document.write( "Question 723013: It takes Jane 4 hours to complete her math homework. Alice can complete the assignment in 3 hours. If Jane works 1/2 hour before Alice joins her, how long will it take the two of them to finish the homework? \n" ); document.write( "
Algebra.Com's Answer #443003 by nshah11(47)![]() ![]() ![]() You can put this solution on YOUR website! When Alice joins Jane, Jane has already completed (1/2)/4 = 1/8 of the homework.\r \n" ); document.write( "\n" ); document.write( "Rate at which both complete homework = (1/3 + 1/4) = 7/12 per hour.\r \n" ); document.write( "\n" ); document.write( "Time needed for both to complete homework = (1 - 1/8)/(7/12) = (12/7)(7/8)\r \n" ); document.write( "\n" ); document.write( "= 3/2 hours \n" ); document.write( " |