document.write( "Question 233246: Hi. I can across this question in the practice Accuplacer test, and I cannot for the life of me figure out how to work it.\r
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document.write( "2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?\r
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document.write( "A. 2 hours and 24 minutes
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document.write( "B. 3 hours and 12 minutes
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document.write( "C. 3 hours and 44 minutes
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document.write( "D. 4 hours and 10 minutes
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document.write( "E. 4 hours and 33 minutes \r
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document.write( "I know that the answer is A, however I do not know how. Your help is greatly appreciated. \n" );
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Algebra.Com's Answer #172177 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, \n" ); document.write( "how long will it take for both of them to paint the house together? \n" ); document.write( ": \n" ); document.write( "Here's an easy method to do these \"shared work\" problems \n" ); document.write( ": \n" ); document.write( "Let t = time required when they work together \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1; (a painted house in this case) \n" ); document.write( ": \n" ); document.write( "Each person will do a fraction of the work, the two fractions add up to 1 \n" ); document.write( " \n" ); document.write( "multiply equation by 12 to get rid of the denominators, results: \n" ); document.write( "3t + 2t = 12 \n" ); document.write( ": \n" ); document.write( "5t = 12 \n" ); document.write( "t = \n" ); document.write( "t = 2.4 hrs working together \n" ); document.write( "Convert .4 hrs to min: .4 * 60 = 24 min \n" ); document.write( "t = 2 hr 24 min \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can prove this to yourself: \n" ); document.write( " \n" ); document.write( ".6 + .4 = 1 \n" ); document.write( ": \n" ); document.write( "Wasn't that pretty easy to understand?? \n" ); document.write( " |