document.write( "Question 198509: Al mows lawns at a rate of 30 square feet per minute, Bo mows 40 square feet per minute, and Cy mows 60 square feet per minute. They accept a job that requires that they mow 6060 square feet of lawn. Al begins mowing at 7:00 A.M., but Bo does not begin for another 15 minutes. Cy begins mowing at 7:45, and they finish together. How long did Bo work? \n" ); document.write( "
Algebra.Com's Answer #149032 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Al mows lawns at a rate of 30 square feet per minute, \n" ); document.write( "Bo mows 40 square feet per minute, and Cy mows 60 square feet per minute. \n" ); document.write( "They accept a job that requires that they mow 6060 square feet of lawn. \n" ); document.write( " Al begins mowing at 7:00 A.M., but Bo does not begin for another 15 minutes. \n" ); document.write( "Cy begins mowing at 7:45, and they finish together. \n" ); document.write( "How long did Bo work? \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Let t = Al's mowing time (minutes) \n" ); document.write( "then \n" ); document.write( "(t-15) = Bo's mowing time \n" ); document.write( "and \n" ); document.write( "(t-45) = Cy's mowing time \n" ); document.write( ": \n" ); document.write( "30t + 40(t-15) + 60(t-45) = 6060 \n" ); document.write( ": \n" ); document.write( "30t + 40t - 600 + 60t - 2700 = 6060 \n" ); document.write( ": \n" ); document.write( "130t - 3300 = 6060 \n" ); document.write( ": \n" ); document.write( "130t = 6060 + 3300 \n" ); document.write( ": \n" ); document.write( "130t = 9360 \n" ); document.write( "t = \n" ); document.write( "t = 72 minutes is Al's mowing time \n" ); document.write( "then \n" ); document.write( "72 - 15 = 57 minutes is Bo's mowing time \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "30(72) + 40(57) + 60(27) = \n" ); document.write( "2160 + 2280 + 1620 = 6060 \n" ); document.write( " |