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
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #468307 by josgarithmetic(39623)![]() ![]() ![]() 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note, the description of the problem implied that Brian and Shane worked together and did ONE job.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the fundamental concept of rate. \n" ); document.write( "(jobs/time)=(jobs)/(time) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "USE THE FUNDAMENTAL CONCEPT OF UNIFORM RATE: \n" ); document.write( " \n" ); document.write( "That IS {rate}*{time}={job}. Their rates are additive while they work together. They do ONE job, shown as 1.\r \n" ); document.write( " \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. \n" ); document.write( " |