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  4. Ice starts forming on the surface of lake and takes 8 hours to form a layer of 1 cm thick. How much time will it take to increase the thickness of layer to 2 cm ?

Q. Ice starts forming on the surface of lake and takes $8$ hours to form a layer of $1\, cm$ thick. How much time will it take to increase the thickness of layer to $2\, cm$ ?

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Solution:

Time taken in freezing a lake is directly proportional to the square of thickness of ice frozen so in this case thickness is getting doubled so total time will be $32$ hours and time to increase the layer thickness from $1\, cm$ to $2\, cm$ will be $32-8=24$ hours.

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