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?

Respuesta :

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: [tex]3-1=2[/tex] feet

3rd hour: [tex]2+3=5[/tex] feet

4th hour: [tex]5-1=4[/tex] feet

5th hour: [tex]4 +3= 7[/tex] feet

6th hour: [tex]7-1=6[/tex] feet

5th hour: [tex]6+3=9[/tex] feet

6th hour: [tex]9-1=8[/tex] feet

7th hour:  [tex]8+3= 11[/tex] feet

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