SOLUTION: There is a frog stuck in a 19 meter well. How many days will it take the frog to get out if every day he jumps ten feet up, but falls back 5 meters? A)3 B)4 C)5 D)7

Algebra.Com
Question 1143273: There is a frog stuck in a 19 meter well. How many days will it take the frog
to get out if every day he jumps ten feet up, but falls back 5 meters?
A)3
B)4
C)5
D)7

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
There is a frog stuck in a 19 meter well. How many days will it take the frog
to get out if every day he jumps ten meters up, but falls back 5 meters?
He needs to be 19 meters from the bottom. 

On his 1st jump, he jumps up 10 meters, from the bottom.  
Now he is 10 meters from the bottom, and still has 9 meters to go.
But he falls back 5 meters.  
So now he is 5 meters from the bottom, and still has 14 meters to go.


On his 2nd jump, he jumps up 10 meters from 5 meters above the bottom  
Now he is 15 meters from the bottom, and still has 4 meters to go.
But he falls back 5 meters.  
Now he is 10 meters from the bottom, and still has 9 meters to go.

So on his 3rd jump, he jumps up 10 meters from 10 meters above the bottom, he
is 1 foot above the top of the well, so he is out and will not fall back.

So he gets out on his third jump.

Answer: 3 

Edwin


RELATED QUESTIONS

A rabbit and a frog jump toward each other. The rabbit takes two jumps for every three... (answered by ikleyn)
A frog is at the bottom of a 78 meter well. Each day he leaps 4 meters up the well. At... (answered by richwmiller)
A frog is at the bottom of a 20 foot well. Each day it crawls up 4 feet but each night... (answered by checkley77)
There are currently 30 frogs in a (large) pond. The frog population grows exponentially,... (answered by josgarithmetic)
A frog is in the bottom of the well which is 20feet.if it goes up 4feet &goes down... (answered by ichudov)
Hi-I was trying to help my 6th grader with his math homework. Many years since I have... (answered by stanbon,gonzo)
a frog leaps off the ground at 2 feet per second; how many seconds does it take the frog... (answered by nerdybill)
Please help me solve this word problem. I was doing well finding zeros of polynomial... (answered by stanbon)
A frog is at the bottom of 200 foot well. Each day it crawls up 5 feet and each it slips (answered by Mathtut)