Question

It takes 52 days to complete an agreement deal by a certain number of men.After 17 days,300 men are added and 21 days are reduced.How many men were working initially? Select one:

a. 150

b. None of the above

c. 200

d. 250

Answer 1

none of the above

none of the above

Answer 2

Answer:

200

Step-by-step explanation:

Let original no. of men be N

We are given that It takes 52 days to complete an agreement deal by a certain number of men.

So, Original Job = $52 \times N$ man days

After 17 days,300 men are added and 21 days are reduced.

Job length = (52-17-21) = 14 days

So, N+300 men are working for 17 days

N men working for 17 days i.e. 17 x N man days

(N+300) men working for 14 days i.e. 14 x (N+300) man days

So, $52N = 17N + 14(N+300)$

$52N = 17N + 14N+4200$

$52N = 31N+4200$

$52N -31N=4200$

$21N=4200$

$N=\frac{4200}{21}$

$N=200$

Hence 200 men were working initially