A 100 litre pond contains stagnant water. A mosquito species lays 200 eggs per litre per day. If each egg hatches into a larva that consumes 1.5 ml of water before pupation, how much water remains after the larvae have eaten in 2 days?
Answer
40 litres
The correct answer is 40 litres — Step 4: Initial water = 100 litres; remaining water = 100 litres – 60 litres = 40 litres.
Step-by-step solution
- Step 1: Eggs laid per day = 200 eggs/litre × 100 litres = 20,000 eggs.
- Step 2: Over 2 days, total eggs = 20,000 × 2 = 40,000 eggs.
- Step 3: Each larva consumes 1.5 ml; total consumption = 40,000 × 1.5 ml = 60,000 ml = 60 litres.
- Step 4: Initial water = 100 litres; remaining water = 100 litres – 60 litres = 40 litres.
Common mistake: Converting millilitres to litres incorrectly or forgetting to multiply by number of days
Concept tested: Water consumption by mosquito larvae
Published · How this solution was prepared and checked
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