Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is
Started 3 months ago by Shashank in
Explanatory Answer
The speeds of Ravi and Ashok converted to meters per second are 40×5/18=100/9 m/s and 50×5/18=1259 m/s50×518=125/9 m/s respectively.
The relative speed between Ravi and Ashok = 100/9+125/9=225/9 m/s
So they meet exactly after 225/225/9=9 seconds.The distance covered by R in 9 seconds = 100/9×9=100 m.
So, for all three of them to meet at the same time Vijay has to cover 54 + 100 = 154m in 9
Seconds.
∴ The speed of Vijay = 154/9 m/s=154/9×185=61.6kmph
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