document.write( "Question 468940: julie can type a manuscript in 4 hours. pat takes 6 hours to type the same manuscript. if julie and pat begin working at noon, at what time will they complete the typing? answers; 2:24,2:30, 2:40, 3:00, and 3:30 \n" ); document.write( "
Algebra.Com's Answer #321718 by stanbon(75887) ![]() You can put this solution on YOUR website! julie can type a manuscript in 4 hours. pat takes 6 hours to type the same manuscript. if julie and pat begin working at noon, at what time will they complete the typing? answers; 2:24,2:30, 2:40, 3:00, and 3:30 \n" ); document.write( "---- \n" ); document.write( "Julie time = 4 hrs/job ; rate = 1/4 job/hr \n" ); document.write( "----- \n" ); document.write( "Pat time = 6 hrs/job ; rate = 1/6 job/hr \n" ); document.write( "----- \n" ); document.write( "Together time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/4 + 1/6 = 1/x \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 12x to get: \n" ); document.write( "3x + 2x = 12 \n" ); document.write( "5x = 12 \n" ); document.write( "x = 12/5 = 2.8 hrs = 2 hr 48 minutes (together time) \n" ); document.write( "---- \n" ); document.write( "Finish time 2:48 PM \n" ); document.write( "========================= \n" ); document.write( " |