SSC GD 2023 PYQ — Question 58

The correct answer is Option 4 i.e. 11:00 A.M.

Distance between the trains = 155 km

Speed of train A = 20 km/h

Speed of train B = 25 km/h

Relative speed of the trains moving in opposite direction = Sum of the speeds of both trains

$Time = {Distance \over Speed}$

One train starts from A at 7:00 A.M. and travels towards B at 20 km/h

Distance traveled by one train in 1 hour = 20 km

Remaining distance = 155 - 20 = 135 km

Both trains are moving in opposite directions

So,

Relative Speed = Speed of train a + Speed of train B = 20 + 25 = 45 km/h

Time taken = $Distance \over Speed$ = $135 \over 45$ = 3 hours

They will meet at = 8:00 AM + 3 hours = 11:00AM