document.write( "Question 1037504: Please help with the following rate question?
\n" ); document.write( "Ian can remodel a kitchen in 20 hours and Jack can do the same job in 15 hours. if they work together, how many hours will it take them to remodel the kitchen? \n" ); document.write( "

Algebra.Com's Answer #652136 by ikleyn(52851) $\"\"$ $\"About$

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\n" ); document.write( "Please help with the following rate question?
\n" ); document.write( "Ian can remodel a kitchen in 20 hours and Jack can do the same job in 15 hours.
\n" ); document.write( "if they work together, how many hours will it take them to remodel the kitchen?
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document.write( "Since Ian can complete the job in 20 hours, he makes  of the job in one hour. It is Ian's rate. It is measured in job-per-hour units.\r\n" );
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document.write( "Since Jack can complete the job in 15 hours, he makes  of the job in one hour. It is Jack's rate. \r\n" );
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document.write( "If Ian and Jack work together, they make  =  =  of the entire job in an hour (in each hour). \r\n" );
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document.write( "(When two workers work together, their rates add up. Their combined rate is the sum of the individual rates.)\r\n" );
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document.write( "Hence, they need  =  hours to complete the job, if they work together.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical problem on joint work.\r
\n" ); document.write( "\n" ); document.write( "For a variety of similar solved joint-work problems see the lesson
\n" ); document.write( "Using fractions to solve word problems on joint work in this site,
\n" ); document.write( "and also associated lessons.\r
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