Question 907170
Number 1:


First Tank, {{{100+(15)t}}}


Second Tank, {{{100+(20)t}}}


The second tank fills at a greater rate than the first tank.  The second tank will have more water in it at any value for t.  The first tank <b>WILL NEVER</b> contain {{{7/3}}} of the quantity of water as in the second tank based on the given conditions.



Number 2:


{{{800-(15)t}}} for emptying the 800 gal tank;

{{{25*t}}} for filling the 1000 gal tank;


The emptying and filling actions start at the same time, assumed; so when are the quantities in the tanks equal?
{{{800-15t=25t}}}
{{{800=25t+15t}}}
{{{40t=800}}}
{{{t=800/40}}}
{{{highlight(t=20)}}} MINUTES