Question
It takes 30 days when 8 men construct a flat. How many men is needed to construct the same flat in 20 days if they work at the same rate?
Answers
GPT 3.5
To solve this problem, we can use the formula:
(work rate) = (number of workers) / (number of days)
Let's denote the number of workers needed to construct the flat in 20 days as x.
For the first scenario, we have:
(work rate) = 8 / 30
For the second scenario, we have:
(work rate) = x / 20
Since the work rate is the same in both scenarios (as stated in the problem), we can equate the two equations and solve for x:
8 / 30 = x / 20
Cross multiplying:
x = (8 / 30) * 20
Simplifying:
x = 16/3
So, approximately 5.33 men are needed to construct the same flat in 20 days. Since we cannot have fractional workers, we would round up to the nearest whole number. Therefore, it would require 6 men to construct the flat in 20 days at the same work rate.
(work rate) = (number of workers) / (number of days)
Let's denote the number of workers needed to construct the flat in 20 days as x.
For the first scenario, we have:
(work rate) = 8 / 30
For the second scenario, we have:
(work rate) = x / 20
Since the work rate is the same in both scenarios (as stated in the problem), we can equate the two equations and solve for x:
8 / 30 = x / 20
Cross multiplying:
x = (8 / 30) * 20
Simplifying:
x = 16/3
So, approximately 5.33 men are needed to construct the same flat in 20 days. Since we cannot have fractional workers, we would round up to the nearest whole number. Therefore, it would require 6 men to construct the flat in 20 days at the same work rate.