Correct Answer - Option 2 : 1.00 P.M
Given:
Speed of first car = 60 km/h
Speed of second car = 30 km/h
Formula used:
Relative Speed = (Total distance)/Time
Concept used:
Let two cars meet after ‘t’ hours when train start from Patna at 9 A.M
Distance covered in ‘t’ hours at 60 km/h = 60t
Distance covered in ‘(t – 2)’ hours at 30 km/h = 30(t – 2)
According to the Question,
60t + 30(t – 2) = 300
⇒ 60t + 30t – 60 = 300
⇒ 90t = 360
⇒ t = 360/90
⇒ t = 4 hours
Time at he reach = (9 + 4) = 1 P.M
∴ Cars will meet at 1 P.M.