Places A and B are 100 km apart on a highway One car starts from A and another from B at the same ti...........

Quantitative Aptitude ( CCS) Time & distance

Places A and B are 100 km. apart on a highway.One car starts from A and another from B at the same time.If the cars travel in the same direction at different speeds,they meet in 5 hours.If they travel

50 , 40 km/hr

60, 40 km/h

50, 50 km/h

70 , 30 km/h

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Explanation:

Let the speeds of the cars be x km/hr and y km/hr
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)
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, option 2 is the correct answer.