Question 1143725
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<U>One way to solve it</U> :


<pre>
Making 10 toys requires  5 men * 6 days * 6 hours = 180 men-hours, according to the first statement.


Hence, making 1 toy requires 180/10 = 18 hours.


Then making 16 toys will take 16*18 = 288 hours.


12 men, working 8 hours per day, will do it in  {{{288/(12*8)}}} = 3 days.


<U>Answer</U>.  In 3 days.
</pre>


<U>Another way to solve the problem is THIS</U> :


<pre>
Based on the first statement, rate of work of 1 man is  {{{10/(5*6*6)}}} = {{{10/180}}} = {{{1/18}}} of the toy per hour.


If "x" is the number of days under the question, then the rate of work of one man is  {{{16/(x*12*8)}}} = {{{16/(96*x)}}} of the toy per hour.


Rate of work is assumed to be the same in both cases; it gives you an equality  (proportion)


     {{{1/18}}} = {{{16/96x}}}.


From the proportion


     1*96x = 18*16,   or   x = {{{(18*16)/96}}} = 3.


You get the same answer :  3 days are needed.
</pre>

You can use either of the two ways/methods to solve the problem.


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