Respuesta :
Answer:
The goat would cover 9 meters in taking 24 steps.
Step-by-step explanation:
There is a mistake in the question so the correct question is below:
A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?
Now, to find the meters goat cover in taking 24 steps.
As 1 step of horse covers = [tex]\frac{1}{2} \ meter.[/tex]
So, 3 step of horse covers = [tex]\frac{1}{2} \times 3[/tex] [tex]=\frac{3}{2} =1.5\ meters.[/tex]
Thus, 3 steps of horse covers = 1.5 meters.
As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.
So, the distance covers by goat in 4 steps = 1.5 meters.
Now, to get the meters goat cover in taking 24 steps by using unitary method:
If, the distance cover by the goat in 4 steps = 1.5 meters
So, the distance cover by the goat in 1 step = [tex]\frac{1.5}{4}[/tex]
Thus, the distance cover by the goat in 24 steps = [tex]\frac{1.5}{4}\times 24[/tex]
= [tex]\frac{36}{3}[/tex]
= [tex]9\ meters.[/tex]
Therefore, the goat would cover 9 meters in taking 24 steps.