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If 12 men can complete a project in 30 days, how many men are needed to complete

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Question: If 12 men can complete a project in 30 days, how many men are needed to complete the project in 15 days?

Options:

  1. 18 men
  2. 24 men
  3. 30 men
  4. 36 men

Correct Answer: 24 men

Solution:

If 12 men take 30 days, then to complete in 15 days, we need 12 * (30/15) = 24 men.

If 12 men can complete a project in 30 days, how many men are needed to complete

Practice Questions

Q1
If 12 men can complete a project in 30 days, how many men are needed to complete the project in 15 days?
  1. 18 men
  2. 24 men
  3. 30 men
  4. 36 men

Questions & Step-by-Step Solutions

If 12 men can complete a project in 30 days, how many men are needed to complete the project in 15 days?
  • Step 1: Understand that 12 men can finish the project in 30 days.
  • Step 2: Determine how many days we want to finish the project in, which is 15 days.
  • Step 3: Calculate how many times faster we want to complete the project. Since 30 days is twice as long as 15 days, we need to work twice as fast.
  • Step 4: Since we need to work twice as fast, we multiply the number of men by 2. So, 12 men * 2 = 24 men.
  • Step 5: Conclude that we need 24 men to complete the project in 15 days.
  • Work Rate – The relationship between the number of workers, the time taken, and the amount of work done.
  • Inverse Proportionality – Understanding that if the time decreases, the number of workers needed increases proportionally.
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