A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water with 9k kgs of the toxic substance.  To solve this problem, they intentionally pour 1k liters of pure clean water per hour and releases the toxic water with the same rate. Assume that the lake can be safe to drink if 95% of the toxin is removed. How long before the lake only contains 45% of toxic waste? Amount of toxic waste left after a month?

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A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water with 9k kgs of the toxic substance.  To solve this problem, they intentionally pour 1k liters of pure clean water per hour and releases the toxic water with the same rate. Assume that the lake can be safe to drink if 95% of the toxin is removed.

  • How long before the lake only contains 45% of toxic waste?
  • Amount of toxic waste left after a month?
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