document.write( "Question 824068: [ Amy can clean the house twice as fast as Thomas. Together they can clean the house in 6 hours. How long would it take each of them working alone to clean the house ? ]
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #496050 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
---
\n" ); document.write( "t = tom's time to clean
\n" ); document.write( "t/2 = amy's time to clean
\n" ); document.write( "---
\n" ); document.write( "individual rates:
\n" ); document.write( "rate = jobs/time
\n" ); document.write( "tom = 1/t
\n" ); document.write( "amy = 1/(t/2) = 2/t
\n" ); document.write( "---
\n" ); document.write( "together rate:
\n" ); document.write( "r = 1/t + 2/t
\n" ); document.write( "r = 3/t
\n" ); document.write( "---
\n" ); document.write( "time/job = 1/r
\n" ); document.write( "---
\n" ); document.write( "together time:
\n" ); document.write( "1/r = t/3
\n" ); document.write( "t/3 = 6 (given)
\n" ); document.write( "t = 18 (tom's time to clean)
\n" ); document.write( "---
\n" ); document.write( "individual times:
\n" ); document.write( "tom = t = 18 hours
\n" ); document.write( "amy = t/2 = 9 hours
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "amy alone takes 9 hours to clean the house
\n" ); document.write( "tom alone takes 18 hours to clean the house
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "
\n" );