Giri departs from a point 'A' at a speed of 20 km/h at 6 am and Gautam from point 'B' at a speed of 10 km/h at 7 am. They are both traveling towards each other. The distance between A and B is 100 km. What time will the two meet?

Correct option is A

Given
Giri (from A): 6 am, 20 km/h
Gautam (from B): 7 am, 10 km/h
Total Distance = 100 km

Solution
By 7 am, Giri travels = 20 $$\times$$​ 1 = 20 km.
Remaining distance = 100 - 20 = 80 km.
Relative Speed = 20 + 10 = 30 km/h.
​$$Time = \frac{80}{30} = 2 \frac{2}{3} hours.\\ \ \\2 \frac{2}{3} hours = 2\ hours\ 40\ minutes.\\$$​​
Meeting Time = 7 am + 2 hr 40 min = 9:40 am.

Final Answer
So the correct answer is (a)