Question

A mountain goat attempts to scale a cliff 100 feet high. Every minute, the goat bounds upward three feet but slips back two. How long does it take for the goat to touch the top of the mountain?

Answer 1

Since the goat gains 3 feet of progress every minute but loses 2, his progress can be shown as:

P=3-2

Therefore his progress per minute is 1.  Multiply that by the number of feet he has to climb and your answer is that it will take him 100 minutes, or an hour and 40 minutes.