Question

A penguin walks 10 feet in 6 seconds. At this speed:

Answer 1

Answer:

1) 75 feet.

2) 25 seconds.

Step-by-step explanation:

Let's start by analyzing the information we have:

We know that a penguin walks 10 feet in 6 seconds.

Now they ask us to find out two things:

How far does the penguin walk in 45 seconds, and how long does it take the penguin to walk 45 feet.

In both cases we will have 3 data and we will have to find out an unknown quantity.

Therefore the best way to solve this is through a cross-multiplication:

1) if 10 feet ------ 6 seconds

             x feet ------ 45 seconds

10. 45 = 6.x

450 = 6x

450: 6 = x

75 = x

In this way we solved the question of question number 1.

Now let's look at question number 2:

if 10 feet ----- 6 seconds

             45 feet ------ x seconds

10.x = 6.45

10x = 270

x = 270: 10

x = 27

In this way, through a cross-multiplication we can determine the unknown quantity we want.

Answer 2

The penguin will walk 75.15 feet in 45 sec

It will take the penguin 26.95 sec to walk 45 feet

Step-by-step explanation:

Given

Distance = d = 10 feet

Time = t = 6 sec

First of all we have to calculate speed

Let s be the speed, then

$s=\frac{d}{t}\\=\frac{10}{6}\\=1.67\ ft\ per\ sec$

Now,

How far does the penguin walk in 45 seconds?

Here we know the speed and the time

So,

s=1.67 ft per sec

t = 45 sec

So,

$s=\frac{d}{t}\\1.67=\frac{d}{45}\\1.67*45=d\\d=75.15\ feet$

How long does it take the penguin to walk 45 feet?

Here we know

d =45 feet

and

Speed =s =1.67 ft per sec

So,

$s=\frac{d}{t}\\1.67=\frac{45}{t}\\t=\frac{45}{1.67}\\t=26.95\ sec$

The penguin will walk 75.15 feet in 45 sec

It will take the penguin 26.95 sec to walk 45 feet

Keywords: Conversions, Distance

Learn more about speed at:

• brainly.com/question/4771355
• brainly.com/question/4786449

#LearnwithBrainly