Calculate the standard time for a task given observed times, performance rating, and allowances.

The total observed time is the sum of the average observed times for machine and manual operations.

$$\text{OT} = \text{Average observed time for machine operation} + \text{Average observed time for manual operation}$$ $$\text{OT} = 6 \text{ min} + 4 \text{ min}$$ $$\text{OT} = 10 \text{ min}$$

Normal time is the observed time adjusted by the performance rating.

$$\text{NT} = \text{OT} \times \text{Performance rating}$$

Given Performance rating $= 110\% = 1.10$.

$$\text{NT} = 10 \text{ min} \times 1.10$$ $$\text{NT} = 11 \text{ min}$$

Standard time is the normal time adjusted by allowances.

$$\text{ST} = \text{NT} \times (1 + \text{Allowances})$$

Given Allowances $= 10\% = 0.10$.

$$\text{ST} = 11 \text{ min} \times (1 + 0.10)$$ $$\text{ST} = 11 \text{ min} \times 1.10$$ $$\text{ST} = 12.1 \text{ min}$$

The Standard Time is $\text{12.1 min}$.