Question

A certain number of men can complete a piece of work in 90 days. If there are 8 men less, it would take 100
days to complete. How many men were there initially?
Select one:
O sh 68 men
O b.72 men
O C.75 men
O d. 80 men​

Answer 1

Answer:

There are 80 men initially

Step-by-step explanation:

• Let X denotes the whole given work.
• Let Y denotes the original number of men, who can complete the work W in 90 days
• Hence from above data we get following relation,
• x/(y*90) = x/[(Y - 8)*(90 + 10)] [= constant = amount of work done by 1 man in 1 day]
• or (Y - 8)*(90 + 10) = Y*90 or 10*Y = 800 or Y = 80 [Ans]

Answer 2

Answer:

W/(N*90) = W/[(N - 8)*(90 + 10)] [= constant = amount of work done by 1 man in 1 day]

or (N - 8)*(90 + 10) = N*90 or 10*N = 800 or N = 80 [Ans]