A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps.

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.

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