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Ravi is riding his bike with a speed 80 km/hr on the road which is along to a railway track on which Rajdhani Express having length 250 meters is running with a speed of 90 km/hr. Suddenly Ravi saw that there is sparking in train’s generator coach which is just on the right side of Ravi. At which speed Ravi ride his bike so that he inform driver of the train at 54th second.

Ravi is riding his bike with a speed 80 km/hr on the road which is along to a railway track on which Rajdhani Express having length 250 meters is running with a speed of 90 km/hr. Suddenly Ravi saw that there is sparking in train’s generator coach which is just on the right side of Ravi. At which speed Ravi ride his bike so that he inform driver of the train at 54th second. Correct Answer 320/3 km/hr

Given: 

Ravi's speed before incident = 80 km/hr

Speed of train = 90 km/hr

Length of the train = 250 meters

Formula used: 

Speed = Distance/Time

Calculation:

Let Ravi increases the speed of bike by x km/hr

Now, the speed of the bike is (80 + x) Km/hr

⇒ The relative speed of bike with respect to the train =  

⇒ (x - 10) Km/hr

Now, according to question

250 = (x - 10) × 5/18 × 54

⇒ x - 10 = 250/15

⇒ x = 80/3

⇒ Increased speed of bike = speed of bike + increased speed of bike by Ravi just after seeing the fault in the train 

⇒ Increased speed of bike = 80 + 80/3

⇒ 320/3 km/hr

∴ the required speed of bike just after seeing the fault in train is 320/3 km/hr

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