Together John and Michael can paint a wall for 18 minutes. John alone can finish the wall 15 minutes more than Michael's painting. Find the time of each. Click to Show/Hide Solution $\text{Let:}$ $\text{John} = t_1$ $\text{Michael} = t_2$ \[ \text{Rate x Time = 1} \] \[ (\frac{1}{t_1} + \frac{1}{t_2}) (18) = 1 \] \[ (\frac{1}{t_2 +15} + \frac{1}{t_2}) (18) = 1 \] \[ t_1 = 45 \] \[ t_2 = 30 \] $ \therefore \text{45 minutes; 30 minutes} \leftarrow \text{answer} $