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Mathematics — CBSE Class 10 board question

Q1. [1]
Water in a river which is 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water will fall into the sea in 2 minutes ?
  1. (a) $800$ m$^3$
  2. (b) $4000$ m$^3$
  3. (c) $8000$ m$^3$
  4. (d) $2000$ m$^3$
Previously asked in CBSE board exam
2023 30/5/1 Q9
Generated by claude-sonnet-4-6 · 2026-06-15 10:34 · grounding rag
Model Answer

(b) 4000 m³

Distance covered in 2 min = $2000 \times \dfrac{2}{60} = \dfrac{200}{3}$ m. Volume = $3 \times 40 \times \dfrac{200}{3} = 8000$ m³.

Wait — recalculating: distance = $2 \text{ km/h} \times \dfrac{2}{60} \text{ h} = \dfrac{2}{15} \text{ km} = \dfrac{200}{3}$ m.

Volume $= 3 \times 40 \times \dfrac{200}{3} = 8000$ m³. → (c) 8000 m³

Explanation

The river cross-section acts as the base (depth × width = 3 × 40 = 120 m²). In 2 minutes at 2 km/h, water travels $2000 × \frac{2}{60} = \frac{200}{3}$ m. Volume = 120 × 200/3 = 8000 m³. Option (c) is correct. A common mistake is forgetting to convert km/h to m/min before multiplying.

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