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.
Penguin walks 75 feet in 45 seconds. And Penguin will take 27 seconds to walk 45 feet.
Given information:
The penguin walks 10 feet in 6 seconds.
As we know that the distance covered is the product of speed and the time taken to cover the distance.
So, applying the same concept, one can write the conclusion as:
(1) The distance covered by the penguin in 1 second is:
[tex]D_1=10/6\\D_1=1.67[/tex]
Now, the distance covered by the penguin in 45 seconds is given as:
The distance covered,
[tex]D_{45}=1.67\times 45\\D_{45}=75[/tex]
Hence, the penguin walks 75 feet in 45 seconds.
Now, according to the concept used in above solution, one can write the time taken to walk 45 feet by the penguin as:
(2) The time taken to walk 45 feet by the penguin is [tex]T_{45}[/tex].
[tex]\text{time}=\frac{\text{distance}}{\text{speed}}[/tex]
[tex]T_{45}=45/1.6[/tex]
[tex]T=27[/tex]
Hence, penguin will take 27 seconds to walk 45 feet.
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