Question

Two trains, 330 and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 s. What is the speed of the faster train?

• A. 42 m/s
• B. 38 m/s
• C. 46 m/s
• D. 50 m/s

Answer 1

Answer: (A)

42 m/s

Answer 2

Using the concept of relative velocity:
Total distance-240 m
When going in same direction

$\frac{240}{x-y}=60$

x-y=4
When going in different direction

$\frac{240}{x-y}=3$

x+y=80

On solving the equations we get,

x=42 and y=38 Speed of faster train is $\frac{42m}{s}$

and slower one is $\frac{38m}{s}$.So the correct option is (A) : .