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1. If 5 spiders can catch five files in five minutes, how many files can hundred spiders catch in 100 minutes ?

A. 100

B. 500

C. 1000

D. 2000

Solution:

Let the required number of chairs be x.
Then, More spiders, More flies (Direct proportion)
More time, More flies (Direct proportion)

\begin{matrix} Spiders 5 : 100 \\ Minutes 5 : 100 \end{matrix}} :: 5 : x

\begin{aligned} ∴ 5 \times 5 \times x = 100 \times 100 \times 5 \\ \Leftrightarrow x = \frac{(100 \times 100 \times 5)}{(5 \times 5)} \\ \Leftrightarrow x = 2000 \end{aligned}

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