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Posted by Moby Dick
on 26/10/2009, 11:13 am, in reply to "rain, rain, go away..."
Firstly, the initial rate of rainfall (r):
(%i3) solve(1/6 * r * 9 + 1/2 * r * 13 + (1/2 * r - 8) * 10 = 778, r);
(%o3) [r = 66]
I don't believe that we can say what the capacity of the container is - but after 9 hours, Jack is bailing it faster than it is coming in - so it is greater than or equal to the volume of water that's in there after 9 hours:
66 * 5/6 * 9 = 495
So >= 495
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