Buses are going from one city to other and vice-versa. The buses start at regular interval of 5 minutes each from station A to B and station B to A each with same speed 60 km/h. The distance between two stations is 30 km. A bus marked A starts from city A and finds buses approaching from opposite direction.
(i) What is the time interval after which bus A will meet two buses coming from opposite side?
Text Solution
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Ans.
(i)
Sol. t = Relative Disp. / Relative velocity
Relative Disp. = Distance traveled by each bus is 5 min. = 
× 60 = 5 km
Relative velocity = 60 + 60 = 120 km/h
∴ t = 
h = 
× 60 min = 2.5 min
(ii)
Sol. Distance = speed × time = 60 × 
= 2.5 km
(iii)
Sol. Each bus takes 30 min to reach another city
∴ total no. of buses it meets = 
– 1 = 11
(12 th bus just start motion)
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