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GATE 2020 ME (ME2) – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men are sent to another project. How many days MORE than the original estimate will completion require?

  1. 3 days
  2. 5 days
  3. 10 days
  4. 13 days

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Show answer and explanation

Correct answer: (A) 3 days

Explanation

Total work is 52×10=520 man-days. With 40 men, time is 520/40=13 days. The question asks extra time over the original estimate, so **13−10=3 days, A**. This assumes unchanged individual productivity.