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
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "A. 2 hours and 24 minutes
\n" ); document.write( "B. 3 hours and 12 minutes
\n" ); document.write( "C. 3 hours and 44 minutes
\n" ); document.write( "D. 4 hours and 10 minutes
\n" ); document.write( "E. 4 hours and 33 minutes \r
\n" ); document.write( "\n" ); document.write( "I know that the answer is A, however I do not know how. Your help is greatly appreciated.
\n" ); document.write( "

Algebra.Com's Answer #172177 by ankor@dixie-net.com(22740)\"\" \"About 
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( "\"t%2F4\" + \"t%2F6\" = 1
\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 = \"12%2F5\"
\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( "\"2.4%2F4\" + \"2.4%2F6\" =
\n" ); document.write( ".6 + .4 = 1
\n" ); document.write( ":
\n" ); document.write( "Wasn't that pretty easy to understand??
\n" ); document.write( "
\n" );