A total of 314 weavers weave 6594 shawls in one-sixth (1/6) of an hour (i.e., 10 minutes). On average, how many shawls does one weaver weave per hour?

Introduction / Context:
This is a straightforward unit-rate calculation: total items produced divided by total worker-hours yields a per-worker per-hour productivity figure.

Given Data / Assumptions:

• Total shawls = 6594.
• Total weavers = 314.
• Total time = 1/6 hour.

Concept / Approach:
Average output per weaver per hour = (total shawls) / (total weaver-hours) = 6594 / (314 * 1/6).

Step-by-Step Solution:
Total weaver-hours = 314 * (1/6) = 314/6 hours. Average rate per weaver per hour = 6594 / (314/6) = 6594 * 6 / 314. Compute 6594 * 6 = 39564. Now 39564 / 314 = 126. Hence, each weaver averages 126 shawls per hour.

Verification / Alternative check:
Multiply back: 126 shawls/hour * 314 weavers * (1/6) hour = 126 * 314 / 6 = 126 * 52.333… = 6594. Matches the given total.

Why Other Options Are Wrong:
42, 21, 84, 102 are lower than the computed exact average; they arise from dividing by the number of weavers or time incorrectly.

Common Pitfalls:
Forgetting to multiply by 6 when converting 10 minutes (1/6 hour) to hourly rate; dividing by workers before accounting for time properly.

Final Answer:
126