document.write( "Question 845497: Hi. I need some help solving this problem please.\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "This is what I came up with but i'm not too sure:
\n" ); document.write( " 1/6 + 1/5 + 1/4 = 1/t(time)
\n" ); document.write( " 10t + 12t + 15t= 37t
\n" ); document.write( " 37t/37 = 60/37 t=60/37\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance.\r
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Algebra.Com's Answer #509315 by stanbon(75887)\"\" \"About 
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
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\n" ); document.write( "Mike can mow the same grounds in 5 hours
\n" ); document.write( "Mike rate = 1/5 job/hr
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\n" ); document.write( " and Chris can mow the grounds in 4 hours.
\n" ); document.write( "Chris rate = 1/4 job/hr
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\n" ); document.write( "Together rate = 1/x job/hr
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\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
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\n" ); document.write( "Note: Your answer is correct.
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