Answer:
[tex]2\frac{2}{5}\ h[/tex]
Step-by-step explanation:
we know that
A turtle can walk 1/12 of a kilometer in an hour
so
by proportion
Find how long will it take the turtle to reach the pond (1/5 km)
[tex]\frac{1}{(1/12)}\frac{h}{km}=\frac{x}{(1/5)}\frac{h}{km} \\ \\x=\frac{(1/5)}{(1/12)} \\ \\x=\frac{12}{5}\ h[/tex]
Convert to mixed number
[tex]\frac{12}{5}\ h=\frac{10}{5}+\frac{2}{5}=2\frac{2}{5}\ h[/tex]
It will take 2.4 hours for the turtle to reach the pond.
Given
A turtle can walk 1/12 of a kilometer in an hour the turtle is 1/5 of a kilometer away from a pond at this speed.
The quantitative relation between two amounts shows the number of times one value contains or is contained within the other:
Let, t be the time will it take for the turtle to reach the pond.
Therefore,
The ratio of their speed is in the same proportion;
[tex]\rm \dfrac{1}{\dfrac{1}{12}}=\dfrac{t}{\dfrac{1}{5}}\\\\\\1 \times 12=5\times t\\\\5t=12\\\\t=\dfrac{12}{5}\\\\t=2.4 \ hours[/tex]
Hence, it will take 2.4 hours for the turtle to reach the pond.
To know more about Ratio click the link given below.
https://brainly.com/question/183069
