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If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?

Correct answer: A. 2

  • A. 2
  • B. 8
  • C. 10
  • D. 12

Explanation

The original labour is 10 bulls x 3 days x 10 hours = 300 bull-hours for 20 fields, or 15 bull-hours per field. For 32 fields, the work is 32 x 15 = 480 bull-hours; 30 bulls working 8 hours daily provide 240 bull-hours per day, so the time is 480/240 = 2 days. The likely mistake is 8 days, which fails to adjust for both the increased number of bulls and the shorter working day.

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Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.

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