How far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?

To determine how far a horse travels when galloping at an average speed of 25 kilometers per hour (km/h) for thirty minutes, we need to break down this problem into smaller steps.

Firstly, let's convert the given time frame from hours and seconds to just seconds. There are sixty minutes in one hour, so:

30 min * 60 sec/min = 1800 sec

Now that we have our total travel time in seconds (1800), we can use the formula for distance traveled:

Distance = Speed × Time

However, before plugging these values into this equation, there's a crucial step to consider. The speed listed is given as an average over thirty minutes, but the horse isn't galloping at that constant rate throughout its entire journey.

To account for this and provide a more accurate estimate of how far the horse travels in reality (considering real-world factors such as acceleration/ deceleration periods), we'll need to make some assumptions.

Assuming that our average speed of 25 km/h is representative only during the actual galloping phases, without factoring in any time spent accelerating or deciating from this pace.

With these caveats out-of-the-way let's proceed with calculating what distance might actually be covered under ideal conditions where constant motion at a steady state can occur:

Given:

- Average speed = 25 km/h

- Time taken to gallop = 30 minutes

Step 1: Convert average speed from kilometers per hour (km/h) into meters per second (m/s):

Average Speed in m/s = (25 * 1000) / (60*60)

= approximately 3.33333 m/second.

Step 2: Multiply the distance traveled by Average Speed to get Total Distance:

Total Distance = Time taken × Average Speed

= 1800 seconds × 3.33333 meters per second.

= Approximately 6000 meters or six kilometers.

Therefore, if a horse gallops at an average speed of twenty-five kilometers per hour for thirty minutes (or approximately one and half hours) without any breaks in its pace, it would travel roughly twelve miles - equivalent to about nineteen point five kilometers.

How far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?