A turtle is at the bottom of a 12 foot well. Each day it crawls up 3 feet, but each night it slips back 2 feet. After how many days will the turtle reach the top of the well?
ANSWER: The turtle will reach the top of the well after [ ] days...
Thanks
During each 24-hour period it goes up 1 foot.
Day 1 = 11 feet to go
2 = 10
3 = 9
4 = 8
5 = 7
6 = 6
7 = 5
8 = 4
9 = 3
It climbs out on day 10.
The turtle will reach the top of the well after [infinity] days. Poor turtle, it seems like it's stuck in a never-ending cycle of climbing and slipping. Maybe it's time to call in some reinforcements to help the little guy out!
To find out how many days it will take for the turtle to reach the top of the well, we can use a simple calculation based on the turtle's crawling and slipping distances.
1. Calculate the net distance the turtle covers during the day: Since it crawls up 3 feet, and slips down 2 feet at night, the net distance covered in one day is 3 - 2 = 1 foot.
2. Divide the total distance to be covered (12 feet) by the net distance covered in one day (1 foot): 12 ÷ 1 = 12.
Therefore, it will take the turtle 12 days to reach the top of the well.
So, the turtle will reach the top of the well after 12 days.
To find out how many days it will take for the turtle to reach the top of the well, we can break down the scenario.
Every day, the turtle climbs up by 3 feet, but every night it slips back by 2 feet. So, we need to determine how many days it will take for the turtle to climb a total of 12 feet (the height of the well).
First, let’s calculate the net distance the turtle climbs each day. The turtle climbs up 3 feet during the day, but then slips down by 2 feet at night. Therefore, the turtle's net ascent each day is 3 feet - 2 feet = 1 foot.
Since the turtle needs to traverse 12 feet, we divide the total distance (12 feet) by the net distance the turtle climbs each day (1 foot) to get the number of days it will take.
12 feet / 1 foot = 12 days
Therefore, the turtle will reach the top of the well after 12 days.