Difficulty: Easy
Correct Answer: 7
Explanation:
Introduction:
This problem encodes a constant-rate relation. The total output (webs) depends on the product of agents (spiders) and time (days), multiplied by each agent’s per-day rate. If 7 spiders produce 7 webs in 7 days, we can infer the unit rate per spider per day and scale it to one spider weaving one web.
Given Data / Assumptions:
Concept / Approach:
Let r be the number of webs produced by one spider in one day. Then total webs = spiders * days * r. Plug the given numbers to find r, then invert to get the time for one web by one spider.
Step-by-Step Solution:
Verification / Alternative check:
If 1 spider takes 7 days per web, then 7 spiders in 7 days will produce 7 webs, matching the given scenario exactly.
Why Other Options Are Wrong:
1 day or 5 days would imply a much higher rate than stated; 8 days is too slow; “None” is unnecessary since 7 is precise and consistent.
Common Pitfalls:
Misreading “7 spiders 7 webs 7 days” as a trick to answer 1 day. Always compute the per-agent-per-day rate first.
Final Answer:
7
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