Question

35 persons are engaged to complete a work in 60 days. after 32 days it is observed that only (2/5)th part of the work has been done. the number of persons to be engaged to complete the remaining work in the said period is

Answer 1

Now 25 persons to be engaged to complete the remaining work inthe said period

Answer 2

Answer:

The number of persons to be engaged to complete the remaining work in the said period is 60.

Step-by-step explanation:

Given : 35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done.

To find : The number of persons to be engaged to complete the remaining work in the said period is ?

Solution :                        

Let $N_1=35$ be the number of persons are engaged to complete a work in 60 days.

Let $N_2$ be the number of persons to be engaged to complete the remaining work.

After 32 days it is observed that only (2/5)th part of the work has been done.

i.e. Work done is $W_1=\frac{2}{5}$ and $D_1=32$

Remaining days = 60-32=28 days do work done $1-\frac{2}{5}=\frac{3}{5}$

i.e. Work done is $W_2=\frac{3}{5}$ and $D_2=28$

According to question the formula given is

$\frac{N_1\times D_1}{W_1}=\frac{N_2\times D_2}{W_2}$

$\frac{35\times 32}{\frac{2}{5}}=\frac{N_2\times 28}{\frac{3}{5}}$

$2800=\frac{N_2\times140}{3}$

$N_2=\frac{2800\times 3}{140}$

$N_2=60$

Therefore, The number of persons to be engaged to complete the remaining work in the said period is 60.