SOLUTION: 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?

Question 501622: 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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
:
"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 =
d = 256 days for one man and one child to do the job
:
:

RELATED QUESTIONS
If 4 men and 6 boys can finish a piece of work in 24 days, in what time will 8 men and 9... (answered by ankor@dixie-net.com)

A can do a piece of work in 16 days and B can do it in 20 days. These worked together for (answered by robertb)

A and B together can finish a piece of work in 12 days. it A alone can finish the same... (answered by ankor@dixie-net.com)

two men A and B can finish a work in 16 days and 12 days respectively.A and B are working (answered by Edwin McCravy)

A AND B TOGETHER CAN FINISH A WORK IN 12 DAYS IF A CAN ALONE FINISH THE SAME WORK IN 20... (answered by RUSHI)

Sixteen men complete a work in 24 days while 48 children can do it in 16 days. Twelve... (answered by josmiceli,josgarithmetic)

father can finish a certain job in 8 days while his daughter can finish the same job in... (answered by josmiceli)

Three men A,B and C can complete a job in 8,12 and 16 days respectively.A and B work... (answered by richwmiller)

if 20 men can do a piece of work in 8 days, then how many men can finish the same work in (answered by ankor@dixie-net.com)