document.write( "Question 906274: Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes a paint the entire house. working together, they can complete the job in 6 hours.\r
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Algebra.Com's Answer #549687 by Edwin McCravy(20055)\"\" \"About 
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Jessie and Mark are planning to paint a house together. Jessie thinks that if he
\n" ); document.write( "works alone, it would take him 5 hours more than the time Mark takes a paint the
\n" ); document.write( "entire house. working together, they can complete the job in 6 hours.\r
\n" ); document.write( "\n" ); document.write( "1. If Mark can finish the job in m hours, how long will it take Jessie to finish
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\n" ); document.write( "Mark can finish the job in m hours
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document.write( "Then Mark's rate is \"1 job per m hours\" or \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2Cm%2Chours%29\" or \"matrix%281%2C2%2C1%2Fm%2Cjob%2Fhr%29\"\r\n" );
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\n" ); document.write( "Jessie thinks that if he works alone, it would take him 5 hours more than
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document.write( "So Jessie thinks it would take him m+5 hours.\r\n" );
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document.write( "Then Jessie's rate is \"1 job per m+5 hours\" or \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2Cm%2B5%2Chours%29\" or \"matrix%281%2C2%2C1%2F%28m%2B5%29%2Cjob%2Fhr%29\"\r\n" );
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\n" ); document.write( "working together, they can complete the job in 6 hours.
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document.write( "So their combined rate is \"1 job per 6 hours\" or \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2C6%2Chours%29\" or \"matrix%281%2C2%2C1%2F6%2Cjob%2Fhr%29\"\r\n" );
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document.write( "Just like those problems where we ADD the boat's rate to rate of the river,\r\n" );
document.write( "we ADD the two boy's rates to find their combined rate.  So we get the\r\n" );
document.write( "equation from\r\n" );
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document.write( "\"%28matrix%285%2C1%2C%22Mark%27s%22%2Cwork%2Crate%2Cin%2Cjob%2Fhr%29%29\"\"%22%22%2B%22%22\"\"%28matrix%285%2C1%2C%22Jessie%27s%22%2Cwork%2Crate%2Cin%2Cjob%2Fhr%29%29\" \"%22%22=%22%22\" \"%28matrix%286%2C1%2CTheir%2Ccombined%2Cwork%2Crate%2Cin%2Cjob%2Fhr%29%29\"\r\n" );
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document.write( "\"1%2Fm\"\"%22%22%2B%22%22\"\"1%2F%28m%2B5%29\" \"%22%22=%22%22\" \"1%2F6\"\r\n" );
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document.write( "Solve that.  It will take Mark 10 hours and Jessie 5 hours longer\r\n" );
document.write( "or 15 hours.\r\n" );
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document.write( "Edwin
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