ANSWER TO QUESTION # 7:

The key to the solution is that with a little bit of pencil work, it will be found, while I can walk 5 miles, my friend who started from Tumkur can walk 7 miles. Let's assume the distance between Bangalore and Tumkur is 24 miles, then the point of meeting would be 14 miles from Bangalore, and,therefore, I walked 3-3/5-th miles per hour while my friend walked 4-4/5-th miles per hour, and we both arrived exactly at 7 P.M