document.write( "Question 424136: Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn. If they work together how long would it take them? \n" ); document.write( "
Algebra.Com's Answer #295786 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn. \n" ); document.write( " If they work together how long would it take them? \n" ); document.write( ": \n" ); document.write( "Let t = time required if they both mow; (and each has a lawn mower) \n" ); document.write( "Let the completed job = 1 (a mowed lawn) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply by 42, to clear the denominators, results: \n" ); document.write( "7t + 6t = 42 \n" ); document.write( "13t = 42 \n" ); document.write( " t = \n" ); document.write( "t = 3.23 hrs, or 3 + .23(60) ~ 3 hrs 14 min \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( " \n" ); document.write( ".54 + .46 = 1; confirms our solution of t = 3.23 hrs \n" ); document.write( " |