document.write( "Question 82070: If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take to paint the same house together?\r
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document.write( "A. 2 hr. 24 min
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document.write( "B.3 hr. 12 min.
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document.write( "C. 3 hr. 44 min.
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document.write( "D. 4 hr. 10 min.
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document.write( "E. 4 hr. 33 min.\r
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document.write( "I tried to solve by dividing both of their times by 2 but that gave me 5 and it wasn't one of the answer choices. How would you solve this? \n" );
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Algebra.Com's Answer #58778 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take to paint the same house together? \n" ); document.write( "--------- \n" ); document.write( "Sally DATA: \n" ); document.write( "Time = 4 hrs/job ; Rate = 1/4 job/hr \n" ); document.write( "----------- \n" ); document.write( "John DATA: \n" ); document.write( "Time = 6 hrs/job ; Rate = 1/6 job/hr \n" ); document.write( "---------------- \n" ); document.write( "Together DATA: \n" ); document.write( "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( "Multiply thru by 12x to get: \n" ); document.write( "3x + 2x = 12 \n" ); document.write( "5x = 12 \n" ); document.write( " x = 2 hrs. (2/5)hr \n" ); document.write( " x = 2 hrs 24 minutes \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |