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75. If 60 men can do a piece of work in 16 days, how many men will do the same work in 4 days at the same pace? \( \qquad \) men A. 15 B. 20 C. 40 D. 200 E. 240 76. In how many years will \( \mathbf{N} 1.500 \) yield

Ask by Garza O'Quinn. in Nigeria
Feb 17,2025

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Answer

For Problem 75: - 60 men can complete the work in 16 days. - Total work is 60 men × 16 days = 960 man-days. - To complete the same work in 4 days, we need \( \frac{960}{4} = 240 \) men. - So, 240 men are needed. For Problem 76: - The question is incomplete. Please provide more details to solve it.

Solution

Let's solve the first problem step by step. ### Problem 75: We know that: - 60 men can complete the work in 16 days. First, we calculate the total amount of work in "man-days": \[ \text{Total Work} = \text{Number of Men} \times \text{Number of Days} = 60 \times 16 = 960 \text{ man-days} \] Now, we need to find out how many men are required to complete the same work in 4 days. Let \( x \) be the number of men needed. The equation for the work done in 4 days is: \[ \text{Total Work} = \text{Number of Men} \times \text{Number of Days} = x \times 4 \] Setting the two expressions for total work equal gives us: \[ 960 = x \times 4 \] Now, we can solve for \( x \): \[ x = \frac{960}{4} = 240 \] Thus, the number of men required to complete the work in 4 days is \( \boxed{240} \). ### Problem 76: The second part of your question seems incomplete. It mentions "In how many years will \( \mathbf{N} 1.500 \) yield," but it does not provide enough information about the interest rate or the context of the yield. Please provide additional details or clarify the question so I can assist you further.

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To determine how many men are needed to complete the same work in 4 days, we start with the total amount of work done by the 60 men in 16 days, which can be expressed in man-days. That’s 60 men × 16 days = 960 man-days. If we want to finish the work in 4 days, we can set this equal to the number of men (let’s call it M) working for 4 days: M × 4 days = 960 man-days. By solving for M, we find that M = 240 men. Therefore, the answer is E. 240. For the second question, the yield of an investment of \( \mathbf{N} 1.500 \) over a period depends on the interest rate and compounding frequency. If you know any specifics, like the annual interest rate or how the interest is compounded (monthly, annually, etc.), you can use the formula for compound interest to determine how long it will take for the investment to grow to a specific amount. Always remember to factor in these details for precise calculations and to make your money work for you!

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