A tortoise travels 11 feet in one hour. In each subsequent hour, the tortoise travels one-third the distance it traveled in the

Question

3 years ago

14

previous hour. How far does this tortoise travel in 6 hours?

2 answers:

wolverine [178] · Answer 1 · 2022-03-07T05:11:33+03:00

8 0

16.5.......................

madam [21] · Answer 2 · 2022-03-07T07:40:24+03:00

<h2>Answer:</h2>

The distance that a tortoise will cover in 6 hours is:

16.47735 feet.

<h2>Step-by-step explanation:</h2>

It is given that :

A tortoise travels 11 feet in one hour.

In each subsequent hour, the tortoise travels one-third the distance it traveled in the previous hour.

$11+\dfrac{1}{3}\times 11\ feet$

which is equal to:

$11\times \dfrac{4}{3}\ feet=\dfrac{44}{3}\ feet$

$=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11\ feet$

$=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11\ feet$

$=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11+\dfrac{1}{3^4}\times 11\ feet$

$=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11+\dfrac{1}{3^4}\times 11+\dfrac{1}{3^5}\times 11\ feet=16.47735\ feet$

Hence, the answer is:

16.47735 feet