document.write( "Question 1102270: 10. One hose can fill a swimming pool in 40 hours while the second hose fills the pool in 60 hours. How long would it take to fill-up the swimming pool using both hoses together? \n" ); document.write( "
Algebra.Com's Answer #716944 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is an alternative method for solving these \"working together\" problems that I find many students prefer to the standard algebraic method shown by the other tutors.

\n" ); document.write( "One hose takes 40 hours to fill the pool alone; another takes 60 hours.
\n" ); document.write( "Imagine you have several of these pools.
\n" ); document.write( "The least common multiple of 40 and 60 is 120.
\n" ); document.write( "In 120 hours the first hose could fill 3 pools and the second hose could fill 2 pools.
\n" ); document.write( "So in 120 hours the two hoses together could fill 5 pools.
\n" ); document.write( "But at that rate the two together could fill the one pool in 120/5 = 24 hours.
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