If 3 men can complete a work in 10 days, how many days will it take for 5 men to

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Question: If 3 men can complete a work in 10 days, how many days will it take for 5 men to complete the same work?

Options:

Correct Answer: 6 days

Solution:

Work done by 3 men in 10 days = 3 * 10 = 30 man-days. 5 men will take 30/5 = 6 days.

If 3 men can complete a work in 10 days, how many days will it take for 5 men to complete the same work?

If 3 men can complete a work in 10 days, how many days will it take for 5 men to complete the same work?

Step 1: Understand that 'man-days' is a way to measure work. It means how many days a certain number of men work together.
Step 2: Calculate the total work done by 3 men in 10 days. This is done by multiplying the number of men by the number of days: 3 men * 10 days = 30 man-days.
Step 3: Now, we know that the total work needed is 30 man-days.
Step 4: To find out how many days it will take for 5 men to complete the same work, divide the total work (30 man-days) by the number of men (5 men): 30 man-days / 5 men = 6 days.
Step 5: Therefore, it will take 5 men 6 days to complete the work.

Work and Man-Days – Understanding the relationship between the number of workers, the time taken, and the total work done, expressed in man-days.
Proportionality – Applying the concept of proportionality to determine how changes in the number of workers affect the time required to complete a task.