document.write( "Question 548243: Suppose I can mow the lawn at the park by my house in 8 hours. It takes my neighbor 10 hours to mow he same lawn. If I started mowing at 8am, then he came and began helping me at 10am, what time would we finish mowing the lawn? \n" ); document.write( "
Algebra.Com's Answer #356928 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Suppose I can mow the lawn at the park by my house in 8 hours. \n" ); document.write( " It takes my neighbor 10 hours to mow he same lawn. \n" ); document.write( "If I started mowing at 8am, then he came and began helping me at 10am, what time would we finish mowing the lawn? \n" ); document.write( ": \n" ); document.write( "Let t = your mowing time \n" ); document.write( "then \n" ); document.write( "(t-2) = neighbor's mowing time \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply by 40 to clear the denominators, results: \n" ); document.write( "5t + 4(t-2) = 40 \n" ); document.write( "5t + 4t - 8 = 40 \n" ); document.write( "9t = 40 + 8 \n" ); document.write( "9t = 48 \n" ); document.write( "t = 48/9 \n" ); document.write( "t = 5 \n" ); document.write( "You would finish at: 8:00 + 5:20 = 1:20 PM \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out \n" ); document.write( " \n" ); document.write( ".67 + .33 = 1 \n" ); document.write( " |