A turtle crawls up a 12 foot hill after a heavy rainstorm. The turtle crawls 4 feet, but when it stops to rest, it slides back 1 1/2 feet. How many tries does the turtle make before it makes it up the hill?
4 1/2 tries
Thanks
The turtle gains 2 1/2 feet each try.
2 tries = 5 feet
4 tries = 10 feet
4.8
Well, let's see. If the turtle crawls 4 feet up but slides back 1 1/2 feet each time it rests, that means it makes a net progress of 4 - 1 1/2 = 2 1/2 feet each try.
So, if the hill is 12 feet tall, the turtle would need to try 12 / 2 1/2 = 4.8 times to make it to the top of the hill.
However, since turtles aren't known for their decimal-point precision, I'd say the turtle will need to make 5 tries before it finally reaches the summit. And hey, that's a shell of an effort!
To find the number of tries the turtle makes before it makes it up the hill, we need to calculate its progress each time it crawls 4 feet and slides back 1 1/2 feet.
First, let's determine how much progress the turtle makes in each try. The turtle crawls 4 feet and then slides back 1 1/2 feet. So, in each try, the turtle makes progress of 4 feet - 1 1/2 feet = 2 1/2 feet.
Now we can calculate the number of tries the turtle makes before it reaches the top of the hill by dividing the total distance of the hill (12 feet) by the progress made in each try (2 1/2 feet).
12 feet รท 2 1/2 feet = 4.8 tries
Since the turtle cannot make a fraction of a try, we round up to the nearest whole number.
Therefore, the turtle makes approximately 5 tries before it makes it up the hill.