A train of length 287 m, running at 80 km/h, crosses another train moving in the opposite direction at 37 km/h in 18 seconds. What is the length of the other train?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 298 m
Concept
When two trains travel opposite to each other, the total distance covered is equal to the sum of the length of the train.
Relative Speed = Speed of Train one and Train two
To convert km into metres, we need to multiply by 5 / 18
Application
Let the length of other train = x metres
Length of the first train = 287 metres (Given)
Total Distance = Relative Speed x Time
(287 + x ) = (80 + 37 ) x 5 /18 x 18
(287 + x ) = (117) x 5 /18 x 18
Upon solving
x = 298 metres
The length of the other train = 298 metres