9 men do a piece of work in 28days
(a). How long will it take 14 men to do it?
(b). how many men will do it in 56days.
(a) If 9 men can do a piece of work in 28 days, it means that the total man-days required for the work is 9 * 28 = 252 man-days.
To calculate how long it will take 14 men to do the work, we can divide the total man-days by the number of men:
252 man-days / 14 men = 18 days
Therefore, it will take 14 men 18 days to complete the work.
(b) If 9 men can do a piece of work in 28 days, we again have a total of 252 man-days required for the work.
To calculate how many men will be needed to complete the work in 56 days, we can divide the total man-days by the number of days:
252 man-days / 56 days = 4.5 men
Since we cannot have a fraction of a man, we can round up to the nearest whole number.
Therefore, it will take 5 men to complete the work in 56 days.
To find the answers to these questions, we can use the concept of man-days.
Given:
- 9 men can complete the work in 28 days
Let's calculate the man-days required to complete the work:
Man-days = Number of men × Number of days
Man-days = 9 × 28 = 252
(a) How long will it take 14 men to do the work?
To calculate the number of days it would take for a different number of men, we can rearrange the formula:
Number of days = Man-days / Number of men
Number of days = 252 / 14 = 18 days
So, it will take 14 men 18 days to complete the work.
(b) How many men will do it in 56 days?
To calculate the number of men required to complete the work in a different number of days, we can rearrange the formula again:
Number of men = Man-days / Number of days
Number of men = 252 / 56 = 4.5 men
Since we cannot have half of a man, we round up to the nearest whole number. So, it would take 5 men to complete the work in 56 days.
To solve these questions, we can use the concept of man-days. Man-days represent the total amount of work done by a certain number of men in a given number of days.
Given information:
- 9 men completed the work in 28 days
- We need to find out:
a) How long will it take 14 men to do it?
b) How many men will do it in 56 days?
To find the man-days required to complete the work, we multiply the number of men by the number of days they work.
Let's calculate the total man-days required to complete the work with 9 men in 28 days:
Man-days = Men * Days
Man-days = 9 * 28
Man-days = 252
Now, let's solve the questions:
a) How long will it take 14 men to do it?
We already know that it takes 9 men 28 days to complete the work, which equals 252 man-days. To find out how long it will take 14 men to complete the same work, we divide the total man-days by the number of men.
Days = Man-days / Men
Days = 252 / 14
Days = 18
Therefore, it will take 14 men 18 days to complete the work.
b) How many men will do it in 56 days?
Again, we know that it takes 9 men 28 days to complete the work, which equals 252 man-days. Now, we need to find out how many men will be needed to complete the work in 56 days, keeping the man-days constant.
Men = Man-days / Days
Men = 252 / 56
Men = 4.5
Since we can't have a fraction of a person, we can round up the number to the nearest whole number. Therefore, it will take 5 men to complete the work in 56 days.
In summary:
a) It will take 14 men 18 days to complete the work.
b) It will take 5 men 56 days to complete the work.