document.write( "Question 816601: Anna builds a house in 3 hours,Jill builds houses in 8 hours, how long will it take them to build a house together? Is t 12 hrs? \n" ); document.write( "

Algebra.Com's Answer #491634 by TimothyLamb(4379) $\"\"$ $\"About$

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work rate:
\n" ); document.write( "r = units / time
\n" ); document.write( "---
\n" ); document.write( "a = 1 job / 3 hrs
\n" ); document.write( "j = 1 job / 8 hrs
\n" ); document.write( "---
\n" ); document.write( "net work rate:
\n" ); document.write( "n = a + j
\n" ); document.write( "n = 1/3 + 1/8
\n" ); document.write( "n = 8/24 + 3/24
\n" ); document.write( "n = 11/24
\n" ); document.write( "---
\n" ); document.write( "net time:
\n" ); document.write( "t = 1/n
\n" ); document.write( "t = 24/11
\n" ); document.write( "t = 2.182 hours
\n" ); document.write( "---
\n" ); document.write( "Answer:
\n" ); document.write( "2 hours 10 minutes 54.5 seconds
\n" ); document.write( "---
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\n" ); document.write( "Convert fractions, decimals, and percents:
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