Okay, well, since the

rate of

consumption is 1.5-kt, the total consumption (assuming 0 initial consumption) is 1.5t-kt

^{2}/2, and it gets

filled at a rate of 2t, so the answer to

**a)** is b(t)=12+.5t-kt

^{2}/2.

The answers for **b)** and **c)**, however, rely on common sense - if his drinking rate starts at 1.5oz/sec and only decreases, then his drinking rate will NEVER overtake the filling rate of 2.0oz/sec. So the bong will certainly overflow no matter what - unless you have a negative constant (which defies the setup of the problem).

Also, how is "done drinking" defined, anyway? The time at which the bong is empty? Then the answer to **c)** is circular anyway. Or perhaps it's the time at which Jim's ability to drink has been expended (i.e. 1.5-kt=0)? Who knows?

In any case, this problem has many, many holes in it. I'd like to see your solution, ccunning, if you don't mind... :)