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18 men built a tanker in 25 days. How ma...

18 men built a tanker in 25 days. How many days would it take for 10 men?

A

45.2

B

45.1

C

46

D

45

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how many days it would take for 10 men to build a tanker, given that 18 men can do it in 25 days, we can follow these steps: ### Step-by-Step Solution: 1. **Determine the total work done in man-days**: - If 18 men can build a tanker in 25 days, we can calculate the total work in man-days. - Total work = Number of men × Number of days - Total work = 18 men × 25 days = 450 man-days. 2. **Calculate the number of days for 10 men**: - We need to find out how many days it will take for 10 men to complete the same amount of work (450 man-days). - Let the number of days required for 10 men be \( x \). - Therefore, we can set up the equation: \[ 10 \text{ men} \times x \text{ days} = 450 \text{ man-days} \] 3. **Solve for \( x \)**: - Rearranging the equation gives us: \[ x = \frac{450 \text{ man-days}}{10 \text{ men}} = 45 \text{ days} \] 4. **Conclusion**: - It would take 10 men 45 days to build the tanker. ### Final Answer: The answer is 45 days.
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