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1. If 5 workers can collect 60 kg wheat in 3 days, how many kilograms of wheat will 8 workers collect in 5 days ?

A. 80 kg

B. 100 kg

C. 120 kg

D. 160 kg

Solution:

Let the required quantity be x kg.
More workers, More quantity (Direct proportion)
More days, More quantity (Direct proportion)

\begin{matrix} Workers 5 : 8 \\ Days 3 : 5 \end{matrix}} :: 60 : x

\begin{aligned} ∴ 5 \times 3 \times x = 8 \times 5 \times 60 \\ \Leftrightarrow x = \frac{(8 \times 5 \times 60)}{(5 \times 3)} \\ \Leftrightarrow x = 160 \end{aligned}

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