SOLUTION: my question: a man and a boy complete work together in 24 days. if for the last 6 days man alone does the work then it is completed in 26 days, how long will the boy takes to compl

Algebra ->  Rate-of-work-word-problems -> SOLUTION: my question: a man and a boy complete work together in 24 days. if for the last 6 days man alone does the work then it is completed in 26 days, how long will the boy takes to compl      Log On


   



Question 623371: my question: a man and a boy complete work together in 24 days. if for the last 6 days man alone does the work then it is completed in 26 days, how long will the boy takes to complete the work?
........Please help me out in detail answer, and formula. thank you. god bless

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
a man and a boy complete work together in 24 days.***
if for the last 6 days man alone does the work then it is completed in 26 days,
how long will the boy takes to complete the work?
Let x and y represent one's day work by the man and boy respectively
Question states***
+x+%2B+y+=+%283%2F4%29%2F18 or y = 1/24-x
x+=+%281%2F4%29%2F8, x = 1/32
and y+=+1%2F24+-+1%2F32+=+1%2F96 would take the boy 96 days alone
CHECKING our Answer***
1%2F32+%2B+1%2F96+=+4%2F96+=++1%2F24