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Paulson belongs to Town A and Robson belongs to Town B. They start their journey towards each other’s towns following the same route at the same time. They meet somewhere on the way and continue with their journey. After meeting Robson, Paulson takes another 2 hours to reach the destination while Robson takes another 4.5 hours to reach Paulson’s town. If Robson travelled at the speed of 30 Km/h, find Paulson’s speed in km/h.

Paulson belongs to Town A and Robson belongs to Town B. They start their journey towards each other’s towns following the same route at the same time. They meet somewhere on the way and continue with their journey. After meeting Robson, Paulson takes another 2 hours to reach the destination while Robson takes another 4.5 hours to reach Paulson’s town. If Robson travelled at the speed of 30 Km/h, find Paulson’s speed in km/h. Correct Answer 45

Given,

Speed of Robson = 30 km/hr

Time taken by Paulson after meeting Robson t1 = 2 hrs

Time taken by Robson after meeting Paulson t2 = 4.5 hrs

As we know,

Speed of Robson/Speed of Paulson = √t2/t1

⇒ 30/Speed of Paulson = √(2/4.5)

⇒ 30/Speed of Paulson = √4/9

⇒ 30/Speed of Paulson = 2/3

⇒ Speed of Paulson = 3/2 × 30

Speed of Paulson = 45 km/hr

∴ Speed of Paulson is 45 km/hr

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