Difficulty: Easy
Correct Answer: 7
Explanation:
Introduction / Context:This is a direct unitary-method question. If multiple identical workers complete a proportional number of identical tasks in a given time, the rate per worker per day can be extracted and used to answer any equivalent scaling question.
Given Data / Assumptions:
Concept / Approach:Let r be web/spider/day. Total webs = (number of spiders) * (days) * r. Solve for r from the given data, then compute the time for a single spider to make one web as 1/r days.
Step-by-Step Solution:
7 spiders * 7 days * r = 7 webs ⇒ 49r = 7 ⇒ r = 7/49 = 1/7 web per spider per day Time for 1 spider to make 1 web = 1 / (1/7) = 7 daysVerification / Alternative check:Proportionality check: If one spider makes 1 web in 7 days, then 7 spiders make 7 webs in the same 7 days, matching the premise.
Why Other Options Are Wrong:3, 4, 6, 10 contradict the constant-rate calculation of r = 1/7 web/day per spider.
Common Pitfalls:Assuming 1 day by incorrectly cancelling numbers, or thinking 7 spiders * 7 days = 49 webs (confusing rate extraction).
Final Answer:7
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