Final answer:
Ramesh takes approximately 0.9167 hours or 55 minutes to cover a distance of 5 kilometers considering his walking speed and rest intervals.
Step-by-step explanation:
To find the time taken to cover a distance of 5 kilometers by Ramesh, we need to consider the time taken for walking as well as the time taken for resting.
Ramesh is walking at a speed of 10 kilometers per hour. This means that he covers 10 kilometers in 1 hour.
The time taken to cover 5 kilometers at this speed is 5/10 = 0.5 hours.
Now, we need to consider the rest time. Ramesh takes a rest of 5 minutes after every kilometer. For a 5-kilometer distance, he would take 5 rest intervals, which is a total of 5 x 5 = 25 minutes.
Therefore, the total time taken by Ramesh to cover a distance of 5 kilometers is 0.5 hours + 25 minutes = 0.5 hours + 0.4167 hours = 0.9167 hours.