Question

A contractor abhay singh employed some men to do a piece of work which can be done by 16 men in 14 days. at the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days. what is the number of men originally employed

Answer 1

I don't know plz don't ask me this type of thing

Answer 2

Answer: The original number of workers is 25.

Step-by-step explanation:

Let x be the original number of workers,

Since, at the end of 5 days from, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days.

Also, their work done is equal to a piece of work which can be done by 16 men in 14 days.

Hence, we can write,

$5\times x + (x-7)\times 3 + (\frac{x-7}{2})\times 5= 16\times 14$

$5x + 3x - 21 + \frac{5x-35}{2}=224$

$8x-21+\frac{5x-35}{2}=224$

$\frac{16x-42+5x-35}{2}=224$

$21x-77=448$

$21x=525$

$x=25$

Hence,  The original number of workers is 25.