A river 3 m deep and 40 m wide is flowing at the rate of 2 \text{ km/hr} and falls into the sea. What is the amount of water in litres that will fall into the sea from this river in a minute?

  1. A. 40,00,000 litres
  2. B. 4,00,000 litres
  3. C. 40,000 litres
  4. D. 4,000 litres

Correct Answer: A. 40,00,000 litres

Explanation

Speed of water = 2 \text{ km/hr} = \frac{2000 \text{ m}}{60 \text{ min}} = \frac{100}{3} \text{ m/min}. Volume flowing per minute = \text{width} \times \text{depth} \times \text{speed} = 40 \times 3 \times \frac{100}{3} = 4000 \text{ m}^3. Since 1 \text{ m}^3 = 1000 \text{ litres}, the volume is 4000 \times 1000 = 40,00,000 \text{ litres}.

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