#### Answer

8$\frac{2}{3}$ min

#### Work Step by Step

Let the cutting tool on the lathe moves $\frac{3}{128}$ in. along the piece
The piece revolves at 45 revolution per minute
We need to find the time it will take to turn a 9$\frac{9}{64}$ in length stock in one operation
therefore No of revolution = 9$\frac{9}{64} \div$ $\frac{3}{128}$ in
= $\frac{585}{64} \div$ $\frac{3}{128}$ in
= $\frac{585}{64} \times $ $\frac{128}{3}$ in
= 390 revolutions
Time = 390 revolution $ \times $ $\frac{1 min}{45 revolution}$
=$\frac{26}{3}$ min
=8$\frac{2}{3}$ min