Question

a piece of work was to be completed in 40 days. a number , 16 more men were then set on, and the work was completed in specified time. how many men were employed at first ​

Answer 1

Answer:

32 men

Step-by-step explanation:

Let N men were employed at first

∵ N men do 1/2 of the work in 24 days

∴ 1 man do the whole work in 24 x 2 x N = 48N days

Now, from the question,

(N + 16) men do the remaining work (1 - 1/2) = 1/2 in (40 - 24) = 16 days

∴ 1 man do the whole work in 16 x 2 x (N + 16) days

∴ 48N = 32(N + 16)

∴ N = 32 men