Calculating the Number of Workers Required to Paint a House in 4 Days
To determine how many workers are needed to paint a house in 4 days, we can use the concept of work done. Given that 5 workers can paint a house in 10 days, we can calculate the total work required to paint the house and then determine how many workers are needed to complete that work in 4 days.

Calculating the Total Work Required
- Let's assume that the total work required to paint the house is 1 unit.
- If 5 workers can paint the house in 10 days, then the work done by 5 workers in 1 day is 1/10 of the total work.
- Therefore, the work done by 1 worker in 1 day is 1/50 of the total work.

Calculating the Number of Workers Needed
- If 1 worker does 1/50 of the work in 1 day, then in 4 days, 1 worker can do 4/50 = 2/25 of the work.
- To complete the entire work in 4 days, we need to find out how many workers are required to do the remaining 23/25 of the work.
- Let's denote the number of workers needed as 'x'. Therefore, the work done by 'x' workers in 4 days is (x * 4)/50 = 2x/25.
- Equating this to the remaining work left (23/25), we get the equation 2x/25 = 23/25.
- Solving this equation, we find x = 23/2, which is equal to 11.5.
- Since we cannot have half a worker, we need to round up to the nearest whole number. Therefore, we need 12 workers to paint the house in 4 days.
Therefore, 12 workers are needed to paint the house in 4 days.