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? \n" );
document.write( "
Algebra.Com's Answer #806112 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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) \n" ); document.write( ": \n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1 \n" ); document.write( " \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 \n" ); document.write( " |