A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of x (in m)?
Answer & explanation
Correct answer: option 3
Relative speed (74 + 52) = 126 km/h
( when moves in opposite direction )
= 126 × \(\frac{5}{18}\)
= 35 m/s
Time taken to cross each other 12 second
Distance = Speed × Time
Total distance covered = 12 × 35 = 420 m
Given :- The length of y is two-thirds that of x
Let, the length of the train x is X meter
Accordingly,
(X + \(\frac{2X}{3}\) ) = 420
X = 420 × \(\frac{3}{5}\)
X = 252
So , The length of the train X is 252 m