document.write( "Question 845497: Hi. I need some help solving this problem please.\r
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document.write( "Jack can mow the baseball grounds in 6 hours; Mike can mow the same grounds in 5 hours and Chris can mow the grounds in 4 hours. How long will it take to mow the grounds if all 3 work together? (Leave the answer in improper fraction form)\r
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document.write( "This is what I came up with but i'm not too sure:
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document.write( " 1/6 + 1/5 + 1/4 = 1/t(time)
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document.write( " 10t + 12t + 15t= 37t
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document.write( " 37t/37 = 60/37 t=60/37\r
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document.write( "Thanks in advance.\r
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Algebra.Com's Answer #509315 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jack can mow the baseball grounds in 6 hours \n" ); document.write( "Jack rate = 1/6 job/hr \n" ); document.write( "------------------------------- \n" ); document.write( "Mike can mow the same grounds in 5 hours \n" ); document.write( "Mike rate = 1/5 job/hr \n" ); document.write( "------------------------------- \n" ); document.write( " and Chris can mow the grounds in 4 hours. \n" ); document.write( "Chris rate = 1/4 job/hr \n" ); document.write( "------------------------------- \n" ); document.write( "Together rate = 1/x job/hr \n" ); document.write( "---------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate \n" ); document.write( "[ 1/6 + 1/5 + 1/4] = 1/x \n" ); document.write( "x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1 \n" ); document.write( "---- \n" ); document.write( "x(74/120) = 1 \n" ); document.write( "x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec \n" ); document.write( "------------------------------------------------------ \n" ); document.write( "Note: Your answer is correct. \n" ); document.write( "====================================================== \n" ); document.write( " |