document.write( "Question 933854: A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How many men can complete the whole job in 4 days? \n" ); document.write( "

Algebra.Com's Answer #567083 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How many men can complete the whole job in 4 days?
\n" ); document.write( "----
\n" ); document.write( "Let:
\n" ); document.write( "men rate = m
\n" ); document.write( "woman rate = w
\n" ); document.write( "----
\n" ); document.write( "2m + 5w = 1/12
\n" ); document.write( "3(2m+5w) + 2(3m+5w) = 1/2
\n" ); document.write( "----
\n" ); document.write( "3(1/12) + 2(m+(1/12)) = 1/2
\n" ); document.write( "1/4 + 2m + (1/6) = 1/2
\n" ); document.write( "2m + (5/12) = 6/12
\n" ); document.write( "2m = 1/12
\n" ); document.write( "m = 1/24
\n" ); document.write( "----
\n" ); document.write( "One man can do the job in 24 days.
\n" ); document.write( "6 men can do the job in 4 days.
\n" ); document.write( "----
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------- \n" ); document.write( "

\n" );