If 5 men can paint 75 houses in 20 days, How long can 15 men take to paint 410 houses
1 man can paint (75/5)/20 = 3/4 house/day
work with that.
328
To find out how long 15 men will take to paint 410 houses, we can use a proportion:
The number of men is directly proportional to the number of houses, and inversely proportional to the number of days.
Let's set up the proportion:
5 men / 75 houses = 15 men / 410 houses
To solve for the number of days, we cross-multiply and divide:
5 men * 410 houses = 15 men * 75 houses
2050 = 1125
So, if 5 men can paint 75 houses in 20 days, then 15 men can paint 410 houses in approximately (20 * 1125) / 2050 ≈ 10.96 days.
Therefore, it would take approximately 10.96 days for 15 men to paint 410 houses.
To find out how long it would take 15 men to paint 410 houses, we can use the concept of man-days. A man-day represents the amount of work done by one person in a day.
Given that 5 men can paint 75 houses in 20 days, we can calculate the number of man-days required to paint one house by dividing the total number of houses (75) by the total number of man-days (5 * 20):
75 houses / (5 men * 20 days) = 75 / 100 = 0.75 man-days per house
Now, let's find out how many man-days are needed to paint 410 houses with 15 men. We can multiply the number of houses (410) by the man-days per house (0.75):
410 houses * 0.75 man-days per house = 307.5 man-days
Since we have 15 men, the number of days it would take can be calculated by dividing the total number of man-days (307.5) by the number of men (15):
307.5 man-days / 15 men = 20.5 days
Therefore, it would take 15 men approximately 20.5 days to paint 410 houses.