If 5 men can complete a work in 20 days, how many men are required to complete t

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Question: If 5 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

Options:

Correct Answer: 10 men

Solution:

If 5 men take 20 days, then to complete the work in 10 days, we need (5 * 20) / 10 = 10 men.

If 5 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

If 5 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 5 men can finish the work in 20 days.
Step 2: Calculate the total amount of work done by 5 men in 20 days. This is 5 men * 20 days = 100 man-days.
Step 3: Determine how many days we want to complete the same work. In this case, we want to finish it in 10 days.
Step 4: To find out how many men are needed to complete the work in 10 days, divide the total work (100 man-days) by the number of days (10 days).
Step 5: Calculate: 100 man-days / 10 days = 10 men.
Step 6: Conclude that we need 10 men 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.
Proportionality – The problem tests the ability to apply proportional reasoning to determine how changes in one variable (time) affect another (number of workers).