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    Question

    Some Category of workers can complete a decided project in 20 days. However, due to some unpredicted situation, 5 workers were absent. That’s why, the project got detained by 5 days. If each worker does the similar amount of work and all workers are equally efficient, then how many workers were initially allocated to the project?

    A 35 Correct Answer Incorrect Answer
    B 23 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let's we consider that the number of workers initially allocated to the project is 'a'. In one day, 'a' workers can complete 1/20th of the project. Then, due to unpredicted situation there will absence of 5 workers, the effective number of workers working on the project is (a - 5). Since the project got detained by 5 days, the entire number of days taken to complete the project is 20 + 5 = 25. Therefore, we can set up the equation to solve for 'a': (a- 5) x 25 = a x 20 25a - 125 = 20a 25a – 20a = 125 5a = 125 a = 125 / 5 a = 25 Therefore, the initial number of workers allocated to the project is 25.

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