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A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get:___________?

Correct answer: C. 45 Rs.

  • A. 35 Rs.
  • B. 40 Rs.
  • C. 45 Rs.
  • D. None of these

Explanation

A and B have rates 1/10 and 1/15 work per day, whose ratio is 3:2, so A deserves 3/5 of the wages. A's share is (3/5) × Rs.75 = Rs.45. The likely mistake is Rs.35, which does not follow the correct 3:2 rate ratio.

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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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