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?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?

Answer 1

Hey Dear,

◆ Answer -

200 men

● Explaination -

Let x be the number of men working initially.

They complete total work in 52 days. So each man will complete 1/52x work per day.

17 days later, 300 men were added reducing time by 21 period. These extra men worked for 52-17-21 = 14 days.

According to this condition -

17 × x × 1/52x + 14 × (x+300) × 1/52x = 1

17/52 + (7x+4200)/52x = 1

(14x+4200)/52x = 1 - 17/52

(14x+4200)/x = 35

35x = 14x + 4200

21x = 4200

x = 200

Therefore, there were 200 men working on the agreement initially.

Thanks dear...

Answer 2

Answer:

300

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 x 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)

After solving this

21 N = 4200

N= 4200/21

N=200