document.write( "Question 1177307: Hannah and James are married. Every Saturday they take turns to clean their apartment. Hannah cleans it
\n" ); document.write( "fast in 3 hours because she does not like to clean. James listens to music, texts, and takes his time while
\n" ); document.write( "cleaning. He takes 5 hours. They finally decided to do it together. How long will it take?
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Algebra.Com's Answer #806112 by ankor@dixie-net.com(22740)\"\" \"About 
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Hannah and James are married. Every Saturday they take turns to clean their apartment.
\n" ); document.write( " Hannah cleans it fast in 3 hours because she does not like to clean.
\n" ); document.write( " James listens to music, texts, and takes his time while cleaning.
\n" ); document.write( " He takes 5 hours. They finally decided to do it together.
\n" ); document.write( " How long will it take?
\n" ); document.write( ";
\n" ); document.write( "Let t = time required when working together
\n" ); document.write( "let the completed job = 1 (A clean apt)
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\n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1
\n" ); document.write( "\"t%2F3\" + \"t%2F5\" = 1
\n" ); document.write( "multiply eq by 15, cancel the denominators
\n" ); document.write( "8t = 15
\n" ); document.write( "t = 15/8
\n" ); document.write( "t = 1.875 hrs which is 1 + .875(60) = l hr and 52.5 min
\n" ); document.write( "5t + 3t = 15
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