Final answer:
At a steady rate of 6.67 kilometers per hour, it will take 45 minutes to run 5 kilometers.
Step-by-step explanation:
The question concerns the calculation of time taken to travel a certain distance at a steady rate, which is a basic concept in mathematics related to speed, distance, and time. To determine how long it will take to run 5 kilometers, we can use the information provided that a distance of 20 kilometers is covered in 3 hours. By calculating the speed (distance divided by time), we get:
Speed = 20 kilometers / 3 hours = 6.67 kilometers per hour
With this speed, to find the time to cover 5 kilometers, the formula is time = distance / speed:
Time to run 5 km = 5 km / 6.67 km/h = 0.75 hours or 45 minutes
Therefore, it will take 45 minutes to run 5 kilometers at the same steady rate.