The two friends, although starting from different points, are running towards each other, shortening the distance between them continuously. We need to find how long this takes.

To do this, we add their speeds together because they run towards each other. So, the combined speed is 10 km/hr + 14 km/hr = 24 km/hr. To find the time it takes for them to meet, we divide the total distance of 10 km by their combined speed.

This is 10 km / 24 km/hr = 0.4167 hours. We need to convert the decimal time into minutes by multiplying it by 60, therefore the time is around 25 minutes.

Option 1, 20 minutes, is too short. Option 3, 28 minutes, and option 4, 30 minutes, are too long. Therefore, the correct answer is option 2, 25 minutes.