A turtle is at the bottom of a 14 foot well. Each day it crawls up 5 feet, but each night it slips back 4 feet. After how many days will the turtle reach the top of the well.

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juliarogers71 juliarogers71

05-06-2017
Mathematics

contestada

A turtle is at the bottom of a 14 foot well. Each day it crawls up 5 feet, but each night it slips back 4 feet. After how many days will the turtle reach the top of the well.

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Algy0 Algy0 · Answer 1 · 2017-06-05T15:45:30+02:00

Day Height
0 -14
1 -13
2 -12
3 -11
4 -10
5 -9
6 -8
7 -7
8 -6
9 -5
10 -4
11 -3
12 -2
13 -1
14 0

It will take him 14 days

Every day he crawls up +5 then at night down -4.
5-4 = 1
So, at the end of every day he goes up 1 foot.