document.write( "Question 237585: If Jan can paint a house in 4 hours and Bill can paint the same house in 6, how long will it take for both of them to paint the house together...?\r
\n" ); document.write( "\n" ); document.write( "Trying to figure out how to set this one up, it should be simple and was thinking of converting into a fraction with a common denominator... but was sure if that was making it harder than it was ? thanks \r
\n" ); document.write( "\n" ); document.write( "Answer given is 2 hrs 24 mins just not sure how 2 get there.... \n" ); document.write( "
Algebra.Com's Answer #174697 by nerdybill(7384)\"\" \"About 
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If Jan can paint a house in 4 hours and Bill can paint the same house in 6, how long will it take for both of them to paint the house together...?
\n" ); document.write( "Trying to figure out how to set this one up, it should be simple and was thinking of converting into a fraction with a common denominator... but was sure if that was making it harder than it was ? thanks
\n" ); document.write( "Answer given is 2 hrs 24 mins just not sure how 2 get there....
\n" ); document.write( ".
\n" ); document.write( "Let x = time it takes to paint the house together
\n" ); document.write( "then
\n" ); document.write( "x(1/4 + 1/6) = 1
\n" ); document.write( "Multiplying both sides by a common denominator 24:
\n" ); document.write( "24x(1/4 + 1/6) = 24(1)
\n" ); document.write( "x(6 + 4) = 24
\n" ); document.write( "x(10) = 24
\n" ); document.write( "x = 2.4 hours
\n" ); document.write( "Or, converting to hours and minutes:
\n" ); document.write( "x = 2 hours and (.4*60) mins
\n" ); document.write( "x = 2 hours and 24 mins
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