document.write( "Question 768485: please help I don't know how to set up an equation to solve this problem\r
\n" ); document.write( "\n" ); document.write( "Brian takes 2 hours longer to complete a job than Shane. If they can complete the job together in 5 hours, find how long it takes each person to complete the job alone.
\n" ); document.write( "?????
\n" ); document.write( "1/x+1/(x+2)=x ??? this is what I tried
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Algebra.Com's Answer #468307 by josgarithmetic(39623)\"\" \"About 
You can put this solution on YOUR website!
Uniform Rates job-completion problem,
\n" ); document.write( "Let x = time for Shane to do one job; his rate is 1/x jobs per hour.
\n" ); document.write( "Then 2+x = time in hours for Brian to do the same job; which is 1/(x+2) job per hour.\r
\n" ); document.write( "\n" ); document.write( "THEY work together for 5 hours.
\n" ); document.write( "Let h = 5 hours.\r
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\n" ); document.write( "\n" ); document.write( "Note, the description of the problem implied that Brian and Shane worked together and did ONE job.\r
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\n" ); document.write( "\n" ); document.write( "Use the fundamental concept of rate.
\n" ); document.write( "(jobs/time)=(jobs)/(time)
\n" ); document.write( "\"r=j%2Ft\"__________ r is rate, j is amount of jobs, t is time.\r
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\n" ); document.write( "\n" ); document.write( "USE THE FUNDAMENTAL CONCEPT OF UNIFORM RATE:
\n" ); document.write( "\"highlight%28%281%2Fx%2B1%2F%28x%2B2%29%29%2Ah=1%29\"
\n" ); document.write( "That IS {rate}*{time}={job}. Their rates are additive while they work together. They do ONE job, shown as 1.\r
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\n" ); document.write( "\n" ); document.write( "SYMBOLIC SOLUTION PROCESS:
\n" ); document.write( "Just substitute 5 for h, and solve the equation for x. Tell if you have trouble with doing this. Most of the analyzing and solution process is to obtain the equation highlighted.
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