We can calculate the number of feet that the penguin walk in 45 seconds using a rule of three, where we know that every 6 seconds the penguin walks 10 feet, so:
6 seconds ------------ 10 feet
45 seconds ----------- X
Where x is the number of feet that the penguin walk in 45 seconds.
So, solving for x, we get:
[tex]X=\frac{45\text{ seconds}\cdot10\text{ feet}}{6\text{ seconds}}=75\text{ feet}[/tex]At the same way, the number of seconds that the penguin needs to walk 45 feet is:
6 seconds ------------- 10 feet
Y -------------- 45 feet
Where Y is the number of seconds that the penguin takes to walk 45 feet.
[tex]Y=\frac{6\text{ seconds}\cdot45\text{ feet}}{10\text{ feet}}=27\text{ seconds}[/tex]Answers: 1. 75 feet
2. 27 seconds