60 men can do a work in 40 days. How long will it take 40 men to complete the same work...? Mcqs

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60 men can do a work in 40 days. How long will it take 40 men to complete the same work...?

(A) 30 days
(B) 29 days

(C) 23 days
(D) 60 days

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Source: This question is taken from the Assistant Punjab Police Department PPSC Past Paper

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If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work...?

(A) 60
(B) 45

(C) 40
(D) None of these

Comments
Explanation:

Explanation:
  1. Let’s denote:
    • AA as the work rate of person A (work per day).
    • BB as the work rate of person B (work per day).
  2. Given:
    • A+BA+B can complete the work in 15 days, so their combined work rate is:
      A+B=115(work per day)A+B=151​(work per day)
    • BB alone can complete the work in 20 days, so BB's work rate is:
      B=120(work per day)B=201​(work per day)
  3. To find AA's work rate:
    A=(A+B)−B=115−120A=(A+B)−B=151​−201​A=460−360=160(work per day)A=604​−603​=601​(work per day)
  4. This means AA alone can complete the work in 60 days.

Source: This question is taken from the Assistant (Bs-16) Labour & Human Resource Department 2022

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