Question 1156875
.
Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. 
How long did they take to weed the farm?
~~~~~~~~~~~~~~~~~~~~~~~~~~~



        I will show another way to solve, using different reasoning than that in the post by @mananth.


        Its advantage is that NEITHER fractions NOR equations are used.



<pre>
The total job is 6 men * 16 days = 96 man-days.


6 men used 6*4 = 24 man-days;  96 - 24 = 72 man-days work remained.


Now 6 + 2 = 8 men work.  They need 72/8 = 9 days to complete the remaining job.


So, 8 men will complete the rest of the job in 9 days.


In all, the whole job will be complete in 4 + 9 = 13 days.
</pre>

Solved completely, using mental reasoning instead equations and fractions.