document.write( "Question 370506: Crew A can clean the Megadome in eight hours and Crew B can clean it in twelve hours. After a night game, crew A began a cleanup at midnight and was joined by crew B at 2:00 A.M. When was the job completed? \n" ); document.write( "
Algebra.Com's Answer #264082 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Crew A can clean the Megadome in eight hours and Crew B can clean it in twelve hours. -------------------------- \n" ); document.write( "A rate = 1/8 job/hr \n" ); document.write( "B rate = 1/12 job/hr \n" ); document.write( "-------- \n" ); document.write( "After a night game, crew A began a cleanup at midnight and was joined by crew B at 2:00 A.M. When was the job completed? \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "Let \"x\" be the number of hours they worked together \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "work done + work done = job done \n" ); document.write( "---- \n" ); document.write( "2(1/8) + (1/8 + 1/12)x = 1 job \n" ); document.write( "---- \n" ); document.write( "1/4 + (20/(8*12))x = 1 \n" ); document.write( "--- \n" ); document.write( "1/4 + (5/24)x = 1 \n" ); document.write( "----- \n" ); document.write( "(5/24)x = 3/4 \n" ); document.write( "--- \n" ); document.write( "x = (3/4)(24/5) \n" ); document.write( "--- \n" ); document.write( "x = 18/5 hrs. \n" ); document.write( "---- \n" ); document.write( "x = 3.6 hrs \n" ); document.write( "--- \n" ); document.write( "x = 3hr 36 minutes \n" ); document.write( "----- \n" ); document.write( "Hour Answer: Job completed at 5:36 AM \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |