Question

A and B are 100 KM apart on a highway one car starts from A and another from B at same time if the car travels in the same direction in different states they meet in 5 hours if there were given to each other they meet in one hour what are the speeds of two cars

Answer 1

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Let the speed of car at A be x kmph
and the speed of car at B be y kmph
As per the question,
5x - 5y = 100

x - y = 20 ... (1)
and x + y = 100 ... (2)
Solving (1) and (2), we get,
x = 60 and y = 40

Speed of the car at A = 60 kmph
Speed of the car at B = 40 kmph

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Answer 2

Sol: Let the speeds of the cars be x km/hr and y km/hr
Case 1: When the cars are going in the same direction
Relative speed = x - y
Distance = 100 km
Time = 100 / (x - y) = 5 hrs
x - y = 100 / 5=20 x – y = 20 ------------- (1)

Case 2: When the cars are going in the opposite direction Relative speed = x + y Time =100 / (x + y) = 1 hrs x + y = 100 ------------- (2)
Solving the equations (1) and (2),
x = 60 y = 40
Hence the speeds of the cars are 60 km/hr and 40 km/hr.