document.write( "Question 701342: If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other. How many hours will it take the faster person to complete 1 job. \n" ); document.write( "
Algebra.Com's Answer #432379 by ankor@dixie-net.com(22740)\"\" \"About 
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If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other.
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\n" ); document.write( "let x = time for the fast person to complete the job (alone)
\n" ); document.write( "then
\n" ); document.write( "1.5x = time required by the other person alone
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\n" ); document.write( "Let the completed job = 1
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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( "\"4%2Fx\" + \"4%2F%281.5x%29\" = 1
\n" ); document.write( "multiply by 3x to get rid of the denominators, resulting in:
\n" ); document.write( "3(4) + 2(4) = 3x
\n" ); document.write( "12 + 8 = 3x
\n" ); document.write( "20 = 3x
\n" ); document.write( "x = 20/3
\n" ); document.write( "x = 6\"2%2F3\" hrs for the fast guy alone
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\n" ); document.write( "Check this with a calc
\n" ); document.write( "\"4%2F6.67\" + \"4%2F%281.5%2A6.67%29\" = .9995 ~ 1 confirms our solution\r
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