ABC26GN3340 · Chain Rule

Subject: General Aptitude · Chapter: Chain Rule · Exam: 2007 · Marks: · Difficulty:

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
Answer
Answer (as printed): D
Explanation
Let the required quantity be $x \mathrm{kg}$. More workers, More quantity (Direct Proportion) More days, More quantity (Direct Proportion) Workers $$\left.\begin{array}{l} 5: 8 \\ 3: 5 \end{array}\right\}:: 60: x$$ $\therefore 5 \times 3 \times x=8 \times 5 \times 60$ $\Leftrightarrow x=\left(\frac{8 \times 5 \times 60}{5 \times 3}\right)=160$.

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