Question 770920
Let {{{ R[b] }}} = B's rate of working in jobs / days
{{{ R[a] = ( 3/14 )*R[b] }}}
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Together, their rate is ( 1 job ) / ( 7 days )
{{{ R[a] + R[b] = 1/7 }}}
{{{ ( 3/14 )*R[b] + R[b] = 1/7 }}}
{{{ R[b] *( 3/14 + 1 ) = 1/7 }}}
{{{ ( 17 / 14 )*R[b] = 2/14 }}}
{{{ 17R[b] = 2 }}}
{{{ R[b] = 2/17 }}}
and
{{{ R[a] = ( 3/14 )*R[b] }}}
{{{ R[a] = ( 3/14 )*( 2/17 ) }}}
{{{ R[a] = 3/119 }}}
{{{ R[a] = 1/39.67 }}}
39 and 2/3 days
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check:
{{{ R[a] + R[b] = 1/7 }}}
{{{ 3/119 + 14/119 = 17/119 }}}
{{{ 17 = 17 }}}
OK