SOLUTION: 20 men decided to repair a house in 30 days . But after 6 days 8 men fell sick . How many days it take to repair the house

Algebra ->  Equations -> SOLUTION: 20 men decided to repair a house in 30 days . But after 6 days 8 men fell sick . How many days it take to repair the house       Log On


   

Question 1160485: 20 men decided to repair a house in 30 days . But after 6 days 8 men fell sick . How many days it take to repair the house
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
20 men decided to repair a house in 30 days .
20 * 30 = 600 man/days required to repair the house
:
But after 6 days 8 men fell sick.
How many days it take to repair the house
let t = additional days required
12 men continued working
(6*20) + 12t = 600
120 + 12t = 600
12t = 600 - 120
12t = 480
t = 480/12
t = 40 additional days
therefore, it required a total of 46 days to complete the job

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
20 men worked for 6 days and then 12 men worked for some x more days.
1 job is REPAIR A HOUSE.
r, the rate of work for 1 man.

system%2820r%2A30=1%2Cbut%2C20r%2A12=%2812%2F30%29%2A1%29

20r=1%2F30

r=1%2F600
-
highlight_green%2820%281%2F600%29%2A6%2B12%281%2F600%29%2Ax=1%29
Solve this for x.