Question

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Answer 1

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

Answer 2

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