A train travelling at the speed of x km/hr, crossed a 200 m long platform in 30 seconds and overtook a man walking in the same direction at the speed of 6 km/hr in 20 seconds. What is the value of x ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 60.
Explanation:
Length of train = l
(5/18) × x = (l + 200)/30 eq 1
(5/18) (x - 6) = l/20
l = (100/18) (x - 6) eq 2
Putting eq 2 in eq 1
30 × (5/18) × x = (100/18)x - (100/3) + 200
(50/18)x = 500/3
x = 180/3 = 60