document.write( "Question 1198027: If Joe can paint a house in 6 hours and Sam can paint
\n" ); document.write( "the same house in 8 hours how long does it take
\n" ); document.write( "them to do in working together
\n" ); document.write( "

Algebra.Com's Answer #831530 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Here is an alternative to the standard algebraic solution shown by one of the other tutors, and without using the shortcut shown by the other tutor.

\n" ); document.write( "Consider the least common multiple of the two given times, which is 24 hours.

\n" ); document.write( "In 24 hours, Joe could paint 24/6 = 4 of these houses; in 24 hours Sam could paint 24/8 = 3 of them. So in 24 hours the two together could paint 4+3 = 7 houses.

\n" ); document.write( "That means the number of hours it would take the two of them to paint the one house is 24/7.

\n" ); document.write( "ANSWER: 24/7 hours

\n" ); document.write( "
\n" ); document.write( "
\n" );