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Answer»

Let, speed of faster car = x km/hSpeed ofslowercar = y km/h

Relative speed when both cartravelsinsame direction= x - yIf the cars travel in thesame directionat different speeds, they meet in 5 hoursSpeed = distance/ timeTotal distance= 100 kmSpeed, x – y = 100/5x – y = 20x = 20 + y................…(1)

Relative speed when both cartravelsin opposite direction = x + yIf they travel towards each other, they meet in 1 hour.Speed = distance/ timeTotal distance= 100 kmSpeed, x+ y = 100/1

Put the value of x from eq(1)We get, 20 + y + y = 1002y = 80y = 40

Put the value of y in eq(1)we get,x= 20 + 40x = 60

Hence speeds are 40 km/h and 60 km/h



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