document.write( "Question 351219: I need help with this question?
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document.write( "Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool? \n" );
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Algebra.Com's Answer #251010 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool? \n" ); document.write( "------ \n" ); document.write( "Jim rate: 1/(1/2) = 2 jobs/hr \n" ); document.write( "--- \n" ); document.write( "Sue rate: (1/(3/4)) = (4/3) jobs/hr \n" ); document.write( "--- \n" ); document.write( "Tony rate = 1/(3/2) = 2/3 job/hr \n" ); document.write( "------------------------------------- \n" ); document.write( "Together rate: 1/x jobs/hr \n" ); document.write( "---------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate \n" ); document.write( "2 + 4/3 + 2/3 = 1/x \n" ); document.write( "---- \n" ); document.write( "Multiply thru by 3x to get: \n" ); document.write( "6x + 4x + 2x = 3 \n" ); document.write( "12x = 3 \n" ); document.write( "x = 1/4 hr. \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========= \n" ); document.write( " \n" ); document.write( " |