Question 1088549
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b) 24 females complete a job in 20 days working 8 hours a day.In how many days 10 females will complete the work for 12 hours a day?
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I will solve b) only.


<pre>
In the first scenario, the rate of work is {{{1/(24*20*8)}}} of the work per hour for each female.


In the second scenario, the rate of work is {{{1/(10*x*10)}}} of the work per hour for each female.


The rate is (assumed) the same in both cases, which gives you an equation

{{{1/(24*20*8)}}} = {{{1/(10*x*12)}}}.


Or, equivalently,

24*20*8 = 10*x *12.


Hence,  x = {{{(24*20*8)/(10*12)}}} = 32 days.


<U>Answer</U>.  In 32 days.
</pre>

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