Question

A contractor undertook to do a piece of work in 132 days and employed 168 men to carry out the job but after 36 days he found that only a quarter of the work had been carried out. How many more men should be employed to finish the work in time? (WIPRO 24-7-19)

Answer 1

Number of men can not be negative

Step-by-step explanation:

Step 1 of 3

Given data is

W1 = 1/4

W2= 1-1/4 =3/4

D1= 36 days

D2= 132-36= 96

M1= 168

M2=168-x

Step 2 of 3

According to formula

M1D1/W1=M2D2/W2

Step 3 of 3

Putting values in formula

(168x36)/1/4=(168-x)96/3/4

168 x 36 = 96(168-x)/3

160-x = (3x 160 x 36) / 96

160-x= 1860

x= -1700

This shows that there is some issue with the available data because number of men can not be negative. But you can follow same formula and pattern to solve these type of questions.

Answer 2

Answer:

21 more men should be employed to finish the work in time.

Explanation:

Let the Number of more men required to do work be "x".

Given - 1/4 work done by 168 men in 36 days.

To complete work on time we have the time off (132 - 36) 96 days.

Work to be done will be (1-1/4) 3/4.

Now,

$\frac{\frac{3}{4} }{96 X (168+x)} = \frac{\frac{1}{4} }{36 X 168}$

Solving the above equation we get,

x = 21

Therefore, 21 more men are required to complete the work on time.

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