Final answer:
Three painters will take approximately 0.9375 work-days or 15/16 work-days to finish the job.
Step-by-step explanation:
To find the number of work-days it will take for three painters to finish the same job, we can use the concept of proportion. If four painters take 1.25 work-days to finish the job, then we can set up the proportion:
4 painters / 1.25 work-days = 3 painters / x work-days
By cross-multiplying and solving for x, we can find the number of work-days:
4 * x = 1.25 * 3
x = (1.25 * 3) / 4
x = 3.75 / 4
x = 0.9375
Therefore, it will take approximately 0.9375 work-days for three painters to finish the job, which can be expressed as 0.9375 or as a mixed number, 15/16 work-days.