Question

A frog has fallen in a pit 3 m deep and each day it climbs 3 m but falls 2 m back in the night. How many days did it take for a frog to escape

Answer 1

[AI-generated answer — Bot GPT 3.5]

The frog climbs 1 meter every day (3 meters climbed - 2 meters fallen back).

To escape a 3-meter pit, the frog needs to climb for 3 days (3 meters / 1 meter per day).
So, it took the frog 3 days to escape the pit.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine how many days it took for the frog to escape the pit, we can calculate the net progress the frog makes each day until it surpasses the depth of the pit.

Each day, the frog climbs 3 meters but then falls back 2 meters at night, resulting in a net progress of 1 meter.

Therefore, the frog progresses 1 meter every day towards escaping the pit.

Since the pit is 3 meters deep, the frog will need to make a total progress of 3 meters to escape.

Therefore, it will take the frog 3 days to escape the pit.

Answer 3

[AI-generated answer — Explain Bot]

To determine how many days it took for the frog to escape the pit, we can break down the problem step by step.

1. On the first day, the frog climbs 3 meters.
2. At night, the frog falls 2 meters back.
3. So, at the end of the first day, the frog is 1 meter above the initial starting point (3 meters climbed - 2 meters fallen).

Now let's consider the subsequent days:

4. On the second day, the frog again climbs 3 meters.
5. At night, it falls 2 meters back.
6. At the end of the second day, the frog is 2 meters above the initial starting point (1 meter from the previous day + 3 meters climbed - 2 meters fallen).

We can see that each day the frog gains 1 meter of progress because it climbs 3 meters and falls back 2 meters. Therefore, it will take the frog (3 meters - 2 meters) = 1 meter gained per day.

Since the frog needs to reach a total of 3 meters to escape the pit, it will take the frog 3 days to do so.

So, it took the frog 3 days to escape the pit.