A contractor employed 210 men to complete a construction work in 60 days. After 12 days, he added 70 more men. In how many days will the remaining work be finished? 

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Kerala PSC Common Preliminary Exam (GRADUATE LEVEL) PYP 38-24
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  1. 38
  2. 35 
  3. 36 
  4. 40 

Answer (Detailed Solution Below)

Option 3 : 36 
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Ans: (C) 36 
KeyPoints : 
Total work: 210 men working for 60 days means the total work can be represented as 
210 * 60 = 12600 man-days.
Work done in 12 days: In the first 12 days, 210 men completed 
210 * 12 = 2520 man-days of work.
Important Points :
Remaining work: The remaining work is 12600 - 2520 = 10080 man-days.
Total men after adding more workers: After 12 days, 70 more men were added, so there are now 210 + 70 = 280 men.
Days to complete remaining work: To find out how many days it will take the 280 men to complete the remaining 10080 man-days of work, we divide the remaining work by the  number of men: 10080 / 280 = 36 days.
Additional Information :
Man-Days: Representing work in man-days is essential for these types of problems. It allows you to combine the effort of different numbers of workers over different periods. Units: Make sure your units are consistent throughout the calculation. You're working with man-days for work and men for the workforce, so the result will be in days. 
Direct Proportion: The number of men and the number of days to complete a task are inversely proportional (assuming the same amount of work). More men means fewer days, and vice versa.

 

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