SOLUTION: If 12 carpenters can construct 3 homes in 20 days, how many days will it take 10 carpenters to construct 4 homes? (1) 29 (2) 30 (3) 31 (4) 32 (5) None of the above

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If 12 carpenters can construct 3 homes in 20 days, how many days will it take 10 carpenters to construct 4 homes? (1) 29 (2) 30 (3) 31 (4) 32 (5) None of the above       Log On


   



Question 289045: If 12 carpenters can construct 3 homes in 20 days, how many days will it take 10 carpenters to construct 4 homes?
(1) 29 (2) 30 (3) 31 (4) 32 (5) None of the above


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If 12 carpenters can construct 3 homes in 20 days,
how many days will it take 10 carpenters to construct 4 homes?
:
Find the number of man-days to construct 3 homes
12 * 20 = 240 man-days
:
Find the number of days to construct 1 home
240%2F3 = 80 man-days
:
Let d = no. of days for 10 to build 4
:
10d = 4(80)
10d = 320
d = 320%2F10
d = 32 days for 10 men to build 4 homes