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If 5 men complete a job in 6 days, how many days will 6 men take to complete the same job?

A. 3 days
B. 4 days
C. 5 days
D. 6 days
Correct Answer: C. 5 days

Correct Answer: 5 days

Work problems are based on the principle that the amount of work remains constant. Total work can be calculated by multiplying the number of workers by the number of days. Here, 5 men × 6 days = 30 man-days. If the same work is to be completed by 6 men, the required time is 30 ÷ 6 = 5 days. This demonstrates an inverse relationship between the number of workers and the time taken to complete a fixed amount of work. As the number of workers increases, the number of days decreases proportionally, assuming every worker performs at the same rate and works for the same duration each day.

  • Total Work: 5 × 6 = 30 man-days.
  • Required Workers: 6 men.
  • Time Required: 30 ÷ 6 = 5 days.
  • Concept: Inverse Proportion.
  • Correct Answer: 5 days.

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