<PRE><B>Question 501622</B>
if 24 adult can finish a work in 16 days and 16 children can finish the same work in 48 days then how much time it would take one adult and 1 child to finish the work? 
:
We know it takes
24*16 = 384 man-days to do the job
or
16*48 = 768 child-days (twice as many as man-days)
Therefore:
2 child-days = 1 man-day
:
&quot;then how much time it would take one adult and 1 child to finish the work? 
let d = no. of days for 1 child and 1 man to do the job
:
1 child and 1 man = 1.5 man
:
1.5d = 384
d = {{{384/1.5}}}
d = 256 days for one man and one child to do the job
:
:

</PRE>