25 men completely build a wall working for 40 days. After working for 24 days, 35 more men joined the workers. Now, the remaining portion of the wall will be built in how many days?
A. 6(2/3) Days
Answer (2)
To solve this problem, we need to determine how many days will be required to complete building the wall once additional workers join in.
Determine the total effort required:
When 25 men work for 40 days, they complete the entire wall. This means the total effort required to complete the wall from start to finish is given by multiplying the number of men by the number of days, which is:
25 e x t m e n × 40 e x t d a ys = 1000 e x t man − d a ys
Calculate the work done so far:
The 25 men have already worked for 24 days, so the work done so far is:
25 e x t m e n × 24 e x t d a ys = 600 e x t man − d a ys
This means 600 man-days of work have already been completed, and the remaining work is:
1000 e x t man − d a ys t o t a l − 600 e x t man − d a ysco m pl e t e d = 400 e x t man − d a ysre mainin g
Calculate the new workforce:
After 24 days, 35 more men join, making the total workforce:
25 + 35 = 60 e x t m e n
Determine the remaining days required:
Now, 60 men are available to complete the remaining 400 man-days of work. To find out how many days it will take these 60 men, we divide the remaining work by the total number of men:
60 e x t m e n 400 e x t man − d a ys = 6 40 = 3 20 ≈ 6.67 days
Expressed in fractional days, this is exactly 6 3 2 days.
Therefore, the remaining portion of the wall will be built in 6(2/3) days . The correct answer is option A.
The remaining portion of the wall will be built in 6(2/3) days after additional workers join. This was determined by calculating the total effort, the work completed, and the new workforce's capacity. The correct answer is option A.
;
