Question: If a work can be completed by 5 men in 10 days, how many days will it take for 10 men to complete the same work?
Options:
5
10
15
20
Correct Answer: 5
Solution:
Work = 5 men * 10 days = 50 man-days. 10 men will take 50/10 = 5 days.
If a work can be completed by 5 men in 10 days, how many days will it take for 1
Practice Questions
Q1
If a work can be completed by 5 men in 10 days, how many days will it take for 10 men to complete the same work?
5
10
15
20
Questions & Step-by-Step Solutions
If a work can be completed by 5 men in 10 days, how many days will it take for 10 men to complete the same work?
Step 1: Understand that 'man-days' is a way to measure work. It means how many men are working and for how many days.
Step 2: Calculate the total work done by 5 men in 10 days. This is done by multiplying the number of men by the number of days: 5 men * 10 days = 50 man-days.
Step 3: Now, we know the total work needed is 50 man-days.
Step 4: Next, we need to find out how many days it will take for 10 men to complete the same work.
Step 5: To find the number of days, divide the total work (50 man-days) by the number of men (10 men): 50 man-days / 10 men = 5 days.
Step 6: Therefore, it will take 10 men 5 days to complete the work.
Work Rate – Understanding how to calculate work done based on the number of workers and the time taken.
Man-Days – The concept of man-days as a unit of work, where the total work is the product of the number of workers and the time they work.
Inverse Proportionality – Recognizing that increasing the number of workers decreases the time required to complete the same amount of work.
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