If 12 men can complete a work in 20 days, how many men are required to complete

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Question: If 12 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

Options:

Correct Answer: 24 men

Solution:

12 men take 20 days, so to finish in 10 days, we need 12 * 20 / 10 = 24 men.

If 12 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

If 12 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

Step 1: Understand that 12 men can complete the work in 20 days.
Step 2: Calculate the total amount of work done in 'man-days'. This is done by multiplying the number of men by the number of days: 12 men * 20 days = 240 man-days.
Step 3: Determine how many days we want to complete the work in. In this case, we want to finish the work in 10 days.
Step 4: To find out how many men are needed to complete the same work in 10 days, divide the total man-days by the number of days: 240 man-days / 10 days = 24 men.
Step 5: Conclude that 24 men are required to complete the work in 10 days.

Work and Time Relationship – This concept involves understanding how the number of workers and the time taken to complete a task are inversely related.
Direct Proportion – The problem tests the ability to apply direct proportion to calculate the number of men needed based on the change in time.