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How long will it take?


Question

There is a pool of water that, when in full sunlight, increases in temperature by one degree Celsius in ten minutes.

At 12:00pm the pool is half covered by the shade of a tree. And by 13:00pm the pool is in full sun. (So that between 12 and 1 pm the pool is partially cover by some shade.) It can be assumed that the shade covers half the pool at 12:30 and so on.

If the pool of water is 28 degree Celsius at 11:50am, how long will it take to increase it 32 degrees Celsius?

If half the pool is covered by shade it will take twice as long to incease by one degree.

Between 11:50am and 12:00pm by pool will be cover by some shade.

Edited by MikeD
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