Related Rates - Two Trains
One train travels west toward Denver (the origin) at 2 mi/min (120 mph), while
another train travels north away from Denver at 1.5 mi/min (90 mph).
At time `t = 0` (here `t` is in minutes) the first train is 20 miles east of Denver
and the second train is 10 miles north of Denver.
- Calculate the rate at which the distance between the trains is changing when `t = 0`.
- Calculate the rate at which the distance between the trains is changing when `t = 10`.
- Look at your answer to the previous question and see how it relates to the situation
modeled in the applet. Could you have guessed your answer without doing any calculation?