# A thoroughbred can run 1/2 mile in about 3/4 minute, what is the horse's speed in miles per hour?

Horse's speed is

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To find the horse's speed in miles per hour (mph), we can use the formula for speed:

[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} ]

Given that the thoroughbred can run 1/2 mile in about 3/4 minute, we convert the time to hours by dividing by 60 (since there are 60 minutes in an hour):

[ \text{Time in hours} = \frac{3/4}{60} ]

Next, we plug the distance (1/2 mile) and the time in hours into the speed formula:

[ \text{Speed} = \frac{1/2}{\frac{3/4}{60}} ]

Simplifying the expression inside the fraction by multiplying by the reciprocal of the denominator:

[ \text{Speed} = \frac{1/2}{\frac{3}{4} \times \frac{1}{60}} ]

[ \text{Speed} = \frac{1/2}{\frac{1}{20}} ]

[ \text{Speed} = \frac{1/2 \times 20}{1} ]

[ \text{Speed} = 10 \text{ mph} ]

Therefore, the horse's speed is 10 miles per hour.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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