document.write( "Question 933640: At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time it takes for worker A and worker B to assemble a shelving unit together? \n" ); document.write( "
Algebra.Com's Answer #566948 by ptaylor(2198)\"\" \"About 
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At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time it takes for worker A and worker B to assemble a shelving unit together?
\n" ); document.write( "Let t= time it takes for worker A and worker B to assemble a shelving unit together?
\n" ); document.write( "Sooo Worker A and Worker B works at the rate of 1/t shelving unit per hour\r
\n" ); document.write( "\n" ); document.write( "Worker A works at the rate of 1/5 shelving unit per hour
\n" ); document.write( "Worker B works at the rate of 1/3 shelving unit per hour
\n" ); document.write( "So our equation to solve is:
\n" ); document.write( "1/5 + 1/3 = 1/t multiply each term by 15t
\n" ); document.write( "3t+5t=15
\n" ); document.write( "8t=15
\n" ); document.write( "t=1.875 hours---time it takes for worker A and worker B to assemble a shelving unit together?
\n" ); document.write( "CK
\n" ); document.write( "(1/5)(15/8)+(1/3)(15/8)=1 (1 shelving unit that is)
\n" ); document.write( "3/8 + 5/8=1
\n" ); document.write( "1=1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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