So the question mentions about the following:
a) Bus 1 having speed of 50 km/h (Slowest of all and the first to depart)
b) Bus 2 having speed of 80 km/h ( Departs 6 hours after Bus 1 leaves)
c) Bus 3 having speed of 100 km/h (In how much time after Bus 1 should it depart so that all 3 Bus meet at a same point ?)
To find this out, I have used the following approach:
I will eliminate Option A and Option B - Since the hours is less than 6 hours - the total time after which Bus 2 departs. If Bus 3 departs at the same time or less time as Bus 2 = then it will overtake Bus 2 and hence they will never be together.
Now, we have 3 Options left - So I just followed a trial and error method-
Option C - If Bus 3 leaves after 8 hours from Bus 1 the total distance convered after 9 hours from Bus 1 departure would be:
Bus 1 - 9*50 = 450 km
Bus 2 - (9-6) *80 = 240 km
Bus 3 - (9-8) * 100 = 100 km
Bus 1, Bus 2 , Bus 3 - Hour details
450, 240, 100 - 10th hour
500, 320, 200 - 11th hour
550, 400, 300 - 12th hour
600, 480, 400 - 13th hour
650, 560, 500 - 14th hour
700, 640, 600 - 15th hour
750, 720, 700 - 16th hour
800, 800, 800 -17th hour
Since I am able to get an answer which matches the condition of the question - I have chosen this option.