If it takes 10 men to build a house in 6 months how many men would be needed to build it in 4 months

10 men to build a 1 house in 6 months

10 men to build a 1/6 house in 1 months
10 men to build a 4/6 house in 4 months
1 man to build a 4/60 house in 4 months
60/4 men can build 1 house in 4 months

15 men can build 1 house in 4 months

or more simply
it takes 60 man-months to build the house
so it takes (60 man-months/4 months) men or 15 men to build the house
(the units of months would cancel)

60

To find out how many men would be needed to build the house in 4 months instead of 6 months, we can use a concept called "man-months." Man-months represent the amount of work performed by one person working for one month.

In this case, we know that it takes 10 men to build the house in 6 months. This means that the total number of man-months required to complete the project is 10 men multiplied by 6 months, which equals 60 man-months.

Next, we need to determine how many man-months would be needed to complete the project in 4 months. We can do this by dividing the total man-months required by the number of months we want to complete the project in.

So, 60 man-months divided by 4 months equals 15 men. Therefore, to build the house in 4 months instead of 6 months, you would need 15 men.