To determine the standard time in seconds for manufacturing a product, we start by understanding the given information. A normal 8-hour shift is equivalent to 480 minutes (8 hours × 60 minutes/hour). The worker is allowed half an hour of personal time, which is 30 minutes.
This leaves the worker with 450 minutes of effective working time in an 8-hour shift.
The standard time is calculated by considering this personal time. Given that the normal time to manufacture a product is 5 minutes, we find the standard time using this formula:
Standard Time = Normal Time / (1 - Allowance Factor)
Here, the allowance factor is the ratio of personal time to the total shift time: 30 / 480 = 0.0625.
Therefore, Standard Time = 5 / (1 - 0.0625) = 5 / 0.9375 = 5.3333... minutes.
Converting this standard time to seconds (since 1 minute = 60 seconds):
Standard Time = 5.3333 × 60 = 320 seconds.
The calculated standard time of 320 seconds falls outside the provided range of [315,315], indicating a possible provision mismatch or assumption requirement clarification from the source.