Four men can finish a piece of work in 5 days working for 6 hours a day. If 5 men work for 8 hours a
day, then how many days will they take to finish the same job?
4
3
O
2
5
Answers
Step-by-step explanation:
Four men can finish a piece of work in 5 days working for 6 hours a day. If 5 men work for 8 hours a
day, then how many days will they take to finish the same job?
4
3
O
2
5
Given:
Four men finish work in 5 days by working 6 hours a day.
Five men work 8 hours a day.
To find:
Days required to complete the work by five men.
Solution:
We know the values of the number of men and the number of hours worked in a day.
The formula for calculating days is,
(M₁× D₁× H₁)/ W₁ = (M₂ × D ₂ × H₂)/W₂
where M₁ and M₂ = total men
D₁ and D₂ = days
W₁ and W₂ = work done
H₁ and H₂ = total hours worked in a day
Four men finish one work in 5 days by working 6 hours a day.
M₁ = 4
D₁= 5
H₁= 6
W₁ = 1 ( since one work is done)
Five men work 8 hours a day.
Let us take D₂ days for completing the work.
M₂ = 5
H₂ = 8
W ₂= 1 ( since one work is done)
Putting values in the formula, we get,
(4×5×6)/ 1 = (5×D₂× 8)/1
D₂ = 3 days
The total days required by five men to complete one work by working for 8 hours a day is 3.