Question

16 men can finish a piece of work in 49 days. 14 men started working and in 8 days they could finish certain amount of work. if it is required to finish the remaining work in 24 days, how many more men should be added to the existing workforce?

Answer 1

1man 1day work = 1/16*49
14 men are worked for 8 days = (1/16*49) * 14* 8= 1/7
Remaining work = 6/7
Then , (6/7)/ 24 = 1/28
Required men =14

Answer 2

Answer: 14 more men should be added to the existing workforce.

Step-by-step explanation:

Since we have given that

Number of men can finish a piece of work in 49 days = 16

Number of men started working = 14

In 8 days, they could finish certain amount of work.

Amount of work done by 14 men in 8 days will be

$\frac{14M\times 8}{16M\times 49}\\\\=\frac{1}{7}$

Remaining work is given by

$1-\frac{1}{7}\\\\=\frac{6}{7}$

So, using the "Time and work rule":

$\frac{14M\times 8}{\frac{1}{7}}=\frac{xM\times 24}{\frac{6}{7}}\\\\x=28\ days$

Hence, 28-14=14 more men should be added to the existing workforce.