Question 884691
Let {{{ R[m] }}}= the rate that a man works
Let {{{ R[w] }}}= the rate that a woman works
Let {{{ R[b] }}}= the rate that a boy works
( the rates are in jobs / day )
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(1) {{{ R[m] = 1/66 }}}
(2) {{{ 2*R[w] = 1/66 }}}
(3) {{{ 3*R[b] = 1/66 }}}
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(1) {{{ R[m] = 1/66 }}}
(2) {{{ R[w] = 1/132 }}}
(3) {{{ R[b] = 1/198 }}}
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Let {{{ d }}} = days to finish the job
Add their rates of working to get
their rate working together
{{{ 1/66 + 1/132 + 1/198 = 1/d }}}
Multiply both sides by {{{ 66d }}}
{{{ d + 2d + 3d = 66 }}}
{{{ 6d = 66 }}}
{{{ d = 11 }}}
One man, one woman and one boy will
finish the job in 11 days