A train traveling at the speed of x km/h crossed a 300 m long platform in 30 seconds and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 96.
The length of the platform is 300m = 0.3 km
The speed of a man is 6 km/hr
Let the length of the train be y m and the speed of the train is x km/hr
According to the question,
⇒ x × 5/18 = (y + 300)/30
⇒ x × 5/18 = (y/30 + 10)........(1)
and
⇒ (x - 6) × 5/18 = y/20...........(2)
on solving both we get
⇒ x = 96
Thus,
The value of x is 96 km/hr