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A 200 L tank of water is losing about 120 mL of water a day. If the tank starts off full, how long will it be before it is less than half full?

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5 votes

Answer: 834 days

Explanation:

The tank will be half full when it has lost 100 L.

Convert that to milliliters so that it can be compared with the loss rate:

1 l = 1,000 ml

100 l = 100 * 1,000

= 100,000 ml

The rate of loss is 120 ml per day. To lose 100,000 ml, the leak would have to have been going on for:

= 100,000 / 120

= 833.3

= 834 days (less than half full)

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