Question

If 5 spiders can catch five flies in five minutes. How many flies can hundred spiders catch in 100 minutes?

• A. 100
• B. 1000
• C. 500
• D. 2000

Answer 1

The Correct Option is D

To solve the problem, we need to determine how many flies 100 spiders can catch in 100 minutes when given the rate at which 5 spiders catch flies. Here's how we break it down:

1. Determine the rate for one spider: We know that 5 spiders catch 5 flies in 5 minutes. This means each spider catches 1 fly in 5 minutes.
2. Calculate the rate of 100 spiders: Since each spider catches 1 fly in 5 minutes, 100 spiders will catch 100 flies in 5 minutes because: \((1 \text{ fly/spider}) \times 100 \text{ spiders} = 100 \text{ flies}\).
3. Find out how many flies in 100 minutes: Since 100 flies are caught every 5 minutes by 100 spiders, to find the number of flies caught in 100 minutes, calculate how many 5-minute intervals fit into 100 minutes: \(\frac{100}{5} = 20\) intervals.
4. Calculate total flies caught: Multiply the number of intervals by flies caught per interval: \(100 \text{ flies/interval} \times 20 \text{ intervals} = 2000 \text{ flies}\).

Therefore, 100 spiders can catch 2000 flies in 100 minutes. The correct answer is 2000.