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送交者: gyro 于 2010-02-04, 12:43:46:

回答: coubert, 你没有证明漏水时间减少 由 gyro 于 2010-02-04, 12:22:21:

Let the volume of water remaining in the container be
V(t), the flux at the leak be f(V), a function of the remaining water volume only.

dV/dt=-f(v).

The time it takes to drain the water is

T=\int dV/f(V), integrated from V=0 to V=V0.

In the two considered cases, f(V) with the wood is greater than f(V) without the wood, at any V. So the time with the wood is smaller.




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