Question

1. what is the average speed in kilometers per hour of a horse that gallops a distance of 15 km in a time of 30 minutes?

Explanation:

Step1: Recall the formula for average speed

The formula for average speed \( v \) is \( v=\frac{d}{t} \), where \( d \) is the distance traveled and \( t \) is the time taken.

Step2: Convert time to hours

The time given is 30 minutes. Since 1 hour = 60 minutes, we convert 30 minutes to hours by dividing by 60. So \( t = \frac{30}{60}=0.5 \) hours.

Step3: Substitute values into the formula

We know that \( d = 15 \) km and \( t = 0.5 \) hours. Substituting these values into the formula \( v=\frac{d}{t} \), we get \( v=\frac{15}{0.5} \).

Step4: Calculate the speed

Calculating \( \frac{15}{0.5} \), we know that dividing by 0.5 is the same as multiplying by 2, so \( 15\times2 = 30 \) km/h.

Answer:

The average speed of the horse is 30 kilometers per hour.