Calculus all the way

Calculus Level 2

If Newton's Law of cooling states that the rate at which the temperature of a substance changes is proportional to the difference between the temperature of the object and the surrounding, then what is the time taken for a cup of coffee brewed at 90 degrees celsius at room temperature (20 degrees), to have temperature of 65 degrees celsius? c o n s t a n t o f p r o p o r t i o n a l i t y = 0.01 s 1 constant of proportionality = 0.01 s^{-1} Answer in 2 decimal places

54.43s 51.24s 51.23s 44.18s

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