\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Water is flowing through mighty Mill
Brook. Two engineering students, Albert and Betty, are assigned the
task of estimating the water flow through the brook between 8 AM and
noon. They are provided with instruments which allow them to tell
what the water flow is at any time in {\bf gallons per minute}.

\medskip 

\noindent a) Albert makes observations of the water flow
every hour on the hour from 8 AM to noon. Here are Albert's
observations:
$$
\eqalign {
{\bf Ti}&{\bf me}\cr
8\colon &00\cr
9\colon &00\cr
10\colon &00\cr
11\colon &00\cr
12\colon &00\cr}
\quad
\eqalign {{\bf Flo}&{\bf w}\cr 
5.&6\cr 8.&9\cr
12.&4\cr 7.&2\cr \ldots & \ldots \cr}
\quad
\eqalign {&\cr &\cr &\cr {\rm (Thund}&{\rm erstorm!)}\cr &\cr {\rm
(Lunch}&{\rm \ break.)}\cr}
$$

\noindent Find Albert's estimate of the total water drained through
Mill Brook during those 4 hours.

\medskip

\noindent b) Student Betty checks the water flow
every {\it half}\/ hour. Here's Betty's data:
$$
\eqalign {
{\bf Ti}&{\bf me}\cr
8\colon &00\cr
8\colon &30\cr
9\colon &00\cr
9\colon &30\cr
10\colon &00\cr
10\colon &30\cr
11\colon &00\cr
11\colon &30\cr
12\colon &00\cr}
\quad
\eqalign {{\bf Flo}&{\bf w}\cr 
5.&6\cr
7.&3\cr
8.&9\cr
8.&3\cr
12.&4\cr
11.&2\cr
7.&2\cr
6.&1\cr
\ldots & \ldots \cr}
\quad
\eqalign {&\cr &\cr &\cr
&\cr &\cr {\rm (Thund}&{\rm erstorm!)}\cr &\cr &\cr &\cr
{\rm (Lunch}&{\rm \ break.)}\cr}
$$

\noindent Find Betty's estimate of the total water drained through Mill
Brook during those 4 hours.






\vfil\eject\end