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The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400 million gallons of water, and it is estimated that the drainage will take at least 25 days. If the water is drained at a constant rate, what is the maximum rate of drainage, in millions of gallons per day?

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The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400400 million gallons of water, and it is estimated that the drainage will take at least 2525 days. If the water is drained at a constant rate, what is the maximum rate of drainage, in millions of gallons per day?\newline

Full solution

Q. The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400400 million gallons of water, and it is estimated that the drainage will take at least 2525 days. If the water is drained at a constant rate, what is the maximum rate of drainage, in millions of gallons per day?\newline
  1. Calculate total volume: We know the total volume of water is 400400 million gallons and it takes at least 2525 days to drain.\newlineTo find the maximum rate, we divide the total volume by the minimum number of days.
  2. Determine minimum days: So, the calculation is 400400 million gallons / 2525 days.
  3. Calculate maximum rate: Doing the math, we get 1616 million gallons per day.

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