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If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?

Correct answer: C. 10

  • A. 1
  • B. 5
  • C. 10
  • D. 25

Explanation

The original task uses 10 workers x 10 days = 100 worker-days to make 10 tables, so each table requires 10 worker-days. Five tables require 5 x 10 = 50 worker-days, and 5 workers complete them in 50/5 = 10 days. The likely mistake is option b, 5 days, from reducing both workers and tables but forgetting that the worker-to-table ratio remains unchanged.

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About Time and Work

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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