Question

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.

Answer 1

The goat would cover 3 meters in 24 steps.

Step-by-step explanation:

To find how many meters the goat would cover in 24 steps, we first need to find how far the goat covers in 1 step. We know that the horse takes 3 steps for the same distance the goat takes in 4 steps. So, the goat covers 1/4th of the distance covered by the horse in one step.

Since each step of the dog covers 1/2 of a meter, the goat covers 1/4 * (1/2) = 1/8 of a meter in one step.

To find out how many meters the goat would cover in 24 steps, we can multiply the distance covered in one step by the number of steps: 1/8 * 24 = 3 meters.

Answer 2

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 =
`(1)/(2) \ meter.`

So, 3 step of horse covers =
`(1)/(2) * 3`
`=(3)/(2) =1.5\ meters.`

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 =
`(1.5)/(4)`

Thus, the distance cover by the goat in 24 steps =
`(1.5)/(4)* 24`

=
`(36)/(3)`

=
`9\ meters.`

Therefore, the goat would cover 9 meters in taking 24 steps.