a turtle is at the bottom of a 11 foot well. each day it crawls up 5 feet, but each night it slips back 3 feet. after how many days will the turtle reach the top of the well?
the turtle will reach the top of the well after ___ days
THANK YOU
in effect, each day the turtle gains 2 ft
after 1st day/night -- 9
after 2nd day/night -- 7
after 3rd day/night ---5
after 4th day ---- since he crawls 5 ft during the day, he is at the top at the end of the 4th day.
To calculate the number of days it will take for the turtle to reach the top of the well, we need to determine how many total 5-foot climbs the turtle will make.
Let's break it down step-by-step:
1. The turtle climbs up 5 feet each day.
2. However, at night, it slips back 3 feet.
3. So, the net progress made by the turtle each day is 5 feet - 3 feet = 2 feet.
4. Therefore, the turtle will make 2 feet of progress each day towards reaching the top of the well.
Now, let's calculate the number of days it will take for the turtle to reach the top of the well:
1. The turtle needs to climb a total of 11 feet to reach the top of the well.
2. Since the turtle makes 2 feet of progress each day, dividing 11 feet by 2 feet gives us 5.5 days.
3. However, since the question asks for the whole number of days, we can round up to the nearest highest whole number.
4. Therefore, the turtle will reach the top of the well after 6 days.
So, the turtle will reach the top of the well after 6 days.
To find out how many days it will take for the turtle to reach the top of the well, we need to calculate the net distance climbed each day.
The turtle climbs up 5 feet during the day but then slips back 3 feet each night, so the net distance climbed per day is 5 - 3 = 2 feet.
Since the turtle is at the bottom of an 11-foot well, it needs to climb a total of 11 feet to reach the top.
To find out how many days it will take, we divide the total distance by the net distance climbed per day: 11 ÷ 2 = 5.5.
However, since we can't have half a day, we round up to the nearest whole number. Therefore, it will take the turtle 6 days to reach the top of the well.
So the turtle will reach the top of the well after 6 days.