<PRE><B>Question 1086672</B>
4 men planned to complete a piece of work in 10 days
1 man will take 4 times as long to do the work
The rate for 1 man is [ 1 job ] / [ 40 days ]
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In 4 days 1 man does {{{ 4/40  = 1/10 }}} of the job
In 4 days 3 men do {{{ 3/10 }}} of the job
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There is {{{ 1 - 3/10 = 7/10 }}} of the job left to do
Let {{{ t }}} = time in days for 4 men to do {{{ 7/10 }}}
of the job
One of the men will take 4 times as long to do {{{ 7/10 }}}
of the job, so {{{ (( 7/10 )) / (( 4t )) }}} is the rate for 1 man
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The rate for 1 man is [ 1 job ] / [ 40 days ], so I can say:
{{{ 1 / 40 = (( 7/10 )) / (( 4t )) }}}
{{{ 4t = 40*( 7/10 ) }}}
{{{ t = 10*( 7/10 ) }}}
{{{ t = 7 }}} days
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The total nuber of days to complete the work is:
{{{ 4 + 7 = 11 }}} days
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Definitely get a 2nd opinion on this. I could easily
go off track on this.

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