It takes four painters working at the same rate $1.25$ work-days to finish a job. If only three painters are available, how many work-days will it take them to finish the job, working at the same rate? Express your answer as a mixed number.

wizzymath Feb 19, 2021

#1**+1 **

It takes four painters working at the same rate 1.25 work-days to finish a job. If only three painters are available, how many work-days will it take them to finish the job, working at the same rate?

**Hello wizzymath!**

\(W=N\cdot t\cdot n\\ N=\dfrac{W}{t\cdot n}=\dfrac{W}{1.25d\cdot4}\)

\(W=\dfrac{W}{1.25d\cdot4}\cdot t\cdot 3\\ t=\dfrac{W\cdot 1.25d\cdot 4}{3\cdot W}\)

\(t=1\frac{2}{3}\ d\)

Three painters need \(1\frac{2}{3}\) working days for the same work.

asinus Feb 19, 2021