Indian Institute of Foreign Trade 2011 Solved Paper

Question : 56 of 120

Marks: +1, -0

A contract is to be completed in 56 days and 104 men are set to work. Each working 8 hours a day, after 30 days, 2/5th of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day?

56 men
65 men
46 men
None of the above

Validate

Solution:

Let 'W' be the amount of work. It is given that,

2/5×W=104×8×30

....(1)
Let 'X' be the number of additional men required to finish the work on time.

W-2/5×W=(104+x)×9×(56−30)

By equation (1) and (2) we can say that,

2/5={104×8×30}/{(104+x)×9×(56-30)}

⇒(104+x)×9×26=12×104×30

⇒(104+x)=160

⇒x=56

Hence, option A is the correct answer.

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