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    Question

    A group of workers can complete a project in 30 days if

    they work 6 hours a day. However, due to some constraints, the number of workers available is reduced by 25%, and they can only work 4 hours a day. How many additional days will it take for the reduced workforce to complete the project?
    A 15 days Correct Answer Incorrect Answer
    B 45 days Correct Answer Incorrect Answer
    C 30 days Correct Answer Incorrect Answer
    D 60 days Correct Answer Incorrect Answer

    Solution

    ATQ, Let's calculate how many additional days it will take for the reduced workforce to complete the project. Number of workers = W (let's assume there are W workers) Hours worked per day = 6 Total days to complete the project = 30 days Total work = 30 days Ă— 6 hours/day Ă— W workers = 180W hours Number of workers available = 75% of W (reduced by 25%) Hours worked per day = 4 Total work = (additional days + 30 days) Ă— 4 hours/day Ă— 0.75W workers Now, we want to find out how many additional days it will take for the reduced workforce to complete the project, so we need to set up an equation: 180W = (30 days + additional days) Ă— 4 Ă— 0.75W Now, let's solve for additional days: 180W = (30 + additional days) Ă— 3W Divide both sides by 3W: 60 = 30 + additional days Subtract 30 from both sides: additional days = 60 - 30 = 30 days

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