Average Rainfall: A Complex Analysis?

📌 CONCEPT: The problem involves determining the monthly rainfall during the monsoon seasons, given the total annual rainfall and the distribution of rainfall during these periods.

📐 RULE / FORMULA: We can use the concept of uniform distribution to determine the monthly rainfall during the monsoon seasons. Let x be the monthly rainfall during the monsoon seasons. Since 60% of the total rainfall occurs during these periods, the total rainfall during the monsoon seasons is 0.6 × 400 = 240 mm. This amount is uniformly distributed across 2 months.

💡 WORKED EXAMPLE: Let's assume the total rainfall during the monsoon seasons is 240 mm. Since it's uniformly distributed across 2 months, the monthly rainfall during these periods is x = 240 / 2 = 120 mm.

⚠️ COMMON MISTAKE: Students often forget to calculate the total rainfall during the monsoon seasons and instead try to distribute the total annual rainfall across the 2 months, leading to incorrect results.