In a certain code language, the following symbols represent the time in a clock as follows:
% means either the hour hand or the minute hand is at 2
+ means either the hour hand or the minute hand is at 5
? means either the hour hand or the minute hand is at 3
< means either the hour hand or the minute hand is at 4
> means either the hour hand or the minute hand is at 12
~ means either the hour hand or the minute hand is at 8
Note: If two symbols are given, then by default, the first symbol is considered the hour hand and second one is considered as the minute hand; all times are considered at PM. For example, <~= 4 : 40 PM.
Train D that travels at a uniform speed of 10 m/s leaves Agra for Lucknow at %< and train F travels to Agra from Lucknow and starts the journey at %~. Train F travels one-third faster than train D. At what time would both the trains meet each other if the distance between Agra and Lucknow is 138 km?

% means either the hour hand or the minute hand is at 2
+ means either the hour hand or the minute hand is at 5
? means either the hour hand or the minute hand is at 3
< means either the hour hand or the minute hand is at 4
> means either the hour hand or the minute hand is at 12
~ means either the hour hand or the minute hand is at 8

Train D that travels at a uniform speed of 10 m/s  = $$10\times \frac{18}{5} = 36$$ km/h leaves Agra for Lucknow at %< = 2:20 PM

Train D travel 20 min = $$\frac{20}{60}\times 36 = 12$$ km​

Train F travels to Agra from Lucknow and starts the journey at %~ = 2:40 PM

Train F travels one-third faster than train D.

D:F = 1:3 

F speed = $$\frac{36}{3} = 12 + 36 = 48$$ km/h

Total distance = 138 km