a cyclist and a horse rider are going the same speed. the rider stops after 11.1 miles. the cyclist goes for another hour and 18.5 miles. how fast is each one going?

To find the speed of the cyclist and the horse rider, we can use the formula:

Speed = Distance / Time

Let's break down the given information:
1. The rider stops after traveling 11.1 miles.
2. The cyclist continues for an additional hour and covers 18.5 miles.

Since both the cyclist and the horse rider are going the same speed, let's represent this speed as "S."

Now, let's calculate the speed of the horse rider:
Speed of the rider = Distance / Time
Speed of the rider = 11.1 miles / (Total time taken by the rider)

Since the horse rider stops after traveling 11.1 miles, we need to determine the total time taken by the rider.

Since we don't have the exact time for the rider, we cannot calculate the speed of the rider using the given information alone. Additional information about the time taken by the rider is needed to find the speed.

However, we can calculate the speed of the cyclist using the information provided. Let's proceed:

Speed of the cyclist = Distance / Time
Speed of the cyclist = 18.5 miles / 1 hour and 18.5 miles

To calculate the speed of the cyclist, we need to convert the time of 1 hour and 18.5 miles into a decimal value. There are 60 minutes in an hour, so 1 hour and 18.5 minutes can be expressed as 1.3083 hours (1 hour + 18.5 minutes / 60 minutes).

Speed of the cyclist = 18.5 miles / 1.3083 hours
Speed of the cyclist ≈ 14.12 miles per hour

Therefore, based on the given information, we can conclude that the cyclist is traveling at approximately 14.12 miles per hour. The speed of the horse rider cannot be determined without additional information about the time taken by the rider.