Question 1062647
Let {{{ R[a] }}} = A's rate of working
Let {{{ R[b] }}} = B's rate of working
{{{ R[a] / R[b] = 6/5 }}} ( A works faster than B )
{{{ 5R[a] = 6R[b] }}}
{{{ R[b] = ( 5/6 )*R[a] }}}
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Working together, their rate is {{{ 1/12 }}}
which is [ 1 job done  ] / [ 12 days ]
{{{ R[a] + R[b] = 1/12 }}}
{{{ R[a] + (5/6)*R[a] = 1/12 }}}
{{{ R[a] = ( 6/11 )*( 1/12 ) }}}
{{{ R[a] = 1/22 }}}
and
{{{ R[b] = ( 5/6 )*R[a] }}}
{{{ R[b] = ( 5/6 )*(1/22) }}}
{{{ R[b] = 5/132 }}}
{{{ R[b] = 1/26.4 }}}
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A can do the job in 22 days
B can do the job in 26.4 days
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check:
{{{ 1/22 + 1/26.4 = 1/12 }}}
{{{ .04545 + .037878 = .08333 }}}
{{{ .083328 = .08333 }}}
close enough
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