Question

A frog is at the bottom of a ​ 18ft foot well. Each day it crawls up 4 ​feet, but each night it slips back 2 feet After how many days will the frog reach the top of the​ well?

Answer 1

8 days

Explanation:

If the frog crawls up 4 feet and slips back 2 feet, then it will crawl...

4-2 = 2 ft each day

Let x be the amount of days it'll take for the frog to reach the top of the well given he crawls 2 feet each day:

2x=18

Divide both sides by 2

x=9

But, at 7 days, the frog will already have crawled 14 feet. This means that on the 8th day, the frog will crawl 4 feet and reach the top of the well before he slips back down. Therefore the answer is 8 days