Places A and B are 80 km a part from each other on a highway. One car starts from and another from B at the same time.If they move in the same direction,they meet in 8 hours and if they move in opposite directions they meet in 1 hour and 20 minutes. Find the speeds of the car.

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2014-10-11T04:48:09+05:30

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When A and B travel in the same direction, distance traveled by B is the distance traveled by A + 80km.

VA * 8 hours + 80 km = VB * 8 hours
VB - VA = 80 km / 8 hours = 10 kmph   equation 1

When A and B travel towards each other, the distance traveled by both is 80 km.

VA * 80 minutes + VB * 80 minutes = 80 km

VA+ VB = 80 km / (80/60) hours = 60 km ph   equation 2

 Add both equations to get,
      
           2 VB = 70 kmph          VB = 35 kmph
                                              VA = VB - 10 = 25 kmph

 

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