A turtle is at the bottom of a 20-foot well. Each day it crawls up 4 feet, but each night it slips back 3 feet. After how many days will the turtle reach the top of the well?
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OpenStudy (mertsj):
How far does he get each day?
OpenStudy (anonymous):
all the information is in the problem..
OpenStudy (mertsj):
Use it to answer my question. It will help find the answer.
OpenStudy (anonymous):
so basically each day/night he gets 1 foot up the wall.
OpenStudy (mertsj):
Yes. So how long till he gets to the top?
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OpenStudy (anonymous):
20 days? haha
OpenStudy (mertsj):
Good for you.
OpenStudy (anonymous):
lol wow that was obvious.
OpenStudy (anonymous):
nope, it's not 20 days!
OpenStudy (anonymous):
I just noticed that when it said it was wrong...
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OpenStudy (anonymous):
do you know how i figure it out?
OpenStudy (anonymous):
Think of it this way. On day 1 turtle gets up to 4 feet. On day 2 he gets up to 5 feet (because he slipped back 3 ft the night before). On day 3 it's 6 feet.
OpenStudy (anonymous):
So, he basically get 3 feet higher than the # of days he's been climbing.
OpenStudy (anonymous):
x + 3 = 20
x = ?
OpenStudy (anonymous):
17
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