Let h be the depth of the well. 10 seconds is the time for rock to fall to water and for sound to travel to us.
h=2gt12, h=cst2,t1+t2=10s.
Therefore, gt12=2cst2,t2=10−t1. So gt12=2cs(10−t1). Solving this equation, we get t1=8.8s,t2=1.2s,h≈396m.
We may notice that the time interval is quite large, so the well has significant depth.
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