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

Speed of Ravi = \(\rm 40\times \frac{10}{36}=\frac{100}{9}\) m/sec

Speed of Ashok = \(=50\times \frac{10}{36}=\frac{125}{9}\) m/sec

Time taken by Ravi and Ashok to meet is  

\(=\frac{225}{\frac{100}{9}+\frac{125}{9}}=9\) sec

In 9 seconds, Ravi travels 100m. For all the three to cross, Vijay must travel 154m in 9 seconds. Hence, the required speed in km/h 

\(\rm =\frac{154}{9}\times \frac{3600}{1000}=61.6\) km/hr