Question

A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during which it slips back 1 foot. How long will it take for the frog to get out of the well?

Answer 1

Answer:

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet

2nd hour: $3-1=2$ feet

3rd hour: $2+3=5$ feet

4th hour: $5-1=4$ feet

5th hour: $4 +3= 7$ feet

6th hour: $7-1=6$ feet

5th hour: $6+3=9$ feet

6th hour: $9-1=8$ feet

7th hour:  $8+3= 11$ feet

Therefore, it takes the frog 7 hours to get out of the well.