A contract is to be completed in 50 days and 105 men were set to work, each working 8 hour a day. After 25 days, 2/5th of the work is finished. How many additional men should be employed so that the work may be completed on time, each man now working 9 hour a day?

A contract is to be completed in 50 days and 105 men were set to work, each working 8 hour a day. After 25 days, 2/5^th of the work is finished. How many additional men should be employed so that the work may be completed on time, each man now working 9 hour a day?
1). 34
2). 36
3). 35
4). 37

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Anjum Qureshi · Answer 1 · 2021-07-07 11:27:59

Answer: C) 35

35 is correct answer.

According to the formula,

$ \Large \frac{M_{1}D_{1}T_{1}}{W_{1}} $= $ \Large \frac{M_{2}D_{2}T_{2}}{W_{2}} $

Given, $ \Large M_{1} $ = 105,$ \Large D_{1} $ = 25,$ \Large T_{1} $ = 8,$ \Large W_{1} $ = $ \Large \frac{2}{5} $

Now, let the additional men be x.

Then, $ \Large M_{2} $ = 105+x, $ \Large T_{2} $ = 9,$ \Large D_{2} $ = 25

and $ \Large W_{2} $ = $ \Large 1-\frac{2}{5}=\frac{3}{5} $

On putting these values in the above formula,

$ \Large \frac{105\times 25\times 8}{2/5} $=$ \Large \frac{(105+x)\times 25\times 9}{3/5} $

=> $ \Large \frac{105\times8}{2} $=$ \Large \frac{(105+x)\times 9}{3} $

=> $ \Large 105\times4 $=$ \Large (105+x)\times3 $

=> $ \Large 105\times 4 $=$ \Large 105\times 3+3x $

$3x=105$

$x=35$men

A contract is to be completed in 50 days and 105 men were set to work, each working 8 hour a day. After 25 days, 2/5th of the work is finished. How many additional men should be employed so that the work may be completed on time, each man now working 9 hour a day?

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