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The respective storm totals at three surrounding stations A, B and C are 110, 90 and 70 mm. If the normal annual precipitation amounts at stations X, A, B and C are respectively 1000, 1100, 1200 and 1250 mm, the estimated storm precipitation at X is
  • a)
    75 mm
  • b)
    77 mm
  • c)
    79 mm
  • d)
    81 mm.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The respective storm totals at three surrounding stations A, B and C a...
Given data:
- Storm total at station A = 110 mm
- Storm total at station B = 90 mm
- Storm total at station C = 70 mm
- Normal annual precipitation at station X = 1000 mm
- Normal annual precipitation at station A = 1100 mm
- Normal annual precipitation at station B = 1200 mm
- Normal annual precipitation at station C = 1250 mm

Estimating storm precipitation at station X:
- First, we need to find the ratio of storm precipitation at station A, B, and C to their respective normal annual precipitation.
- For station A, the ratio is 110/1100 = 0.1
- For station B, the ratio is 90/1200 = 0.075
- For station C, the ratio is 70/1250 = 0.056
- Next, we can use the average of these ratios to estimate the storm precipitation at station X.
- The average ratio is (0.1+0.075+0.056)/3 = 0.077
- Finally, we can multiply this ratio by the normal annual precipitation at station X to get the estimated storm precipitation at station X.
- Estimated storm precipitation at station X = 0.077 x 1000 = 77 mm

Therefore, the correct answer is option B - 77 mm.
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