SOLUTION: if 3 men or 6 boys can do piece of work in 20 days.how many days will 6 men and 8 boys take to do the same work?

Question 813280: if 3 men or 6 boys can do piece of work in 20 days.how many days will 6 men and 8 boys take to do the same work?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if 3 men or 6 boys can do piece of work in 20 days.how many days will 6 men and 8 boys take to do the same work?
:
Given, work can be done by:
3*20 = 60 man-days
or
6*20 = 120 boy-days
therefore
60 md = 120 bd
divide by 60
md = 2bd
:
how many days will 6 men and 8 boys take to do the same work?
let d = no. days to accomplish this in terms of man-days
we know that 8bd = 4 md; therefore
6d + 4d = 60
10d = 60
d = 6 days for 6 men and 8 boys to do the job

RELATED QUESTIONS
2 men can do the same amount of work that 3 boys can do. 4 men and 10 boys can do a piece (answered by josgarithmetic)

If 8 men and 17 boys can do a piece of work in 26 days how many days will it take 4 men... (answered by richwmiller,Vladdroid)

20 men or 30 boys can do a certain job in 20 days. how long will it take 6 men and 15... (answered by ankor@dixie-net.com)

5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In... (answered by jorel555)

If 6 men and 8 boys can complete a piece of work in 10 days and 8 men and 6 boys can... (answered by ikleyn)

If 4 men with 9 boys can do a piece of work in 6/5 days, and 3 men with 6 boys can do the (answered by robertb)

10 men or 18 boys can do a piece of work in 15 days, in how many days will 25 men and 15... (answered by Edwin McCravy)

If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do the... (answered by ankor@dixie-net.com,kamallohia)

If 4 men or 7 boys can do a work in 29 days, then 12 men and 8 boys will do the same work (answered by ankor@dixie-net.com)