Question

Beth is taking the train to see her boyfriend on Valentine's Day! The train is hundred m long and it takes 30 seconds to cross a 400 m bridge. What speed is the train going at?

Answer 1

Answer:

16.67 m/s.

Step-by-step explanation:

We have been given that a train is 100 m long and it takes 30 seconds to cross a 400 m bridge.

We will use speed formula to solve our given problem.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

We know that train has to cover the length of bridge and its own length to fully cross the bridge.

$\text{Total distance covered by train}=\text{ Length of bridge+ Length of train}$

$\text{Total distance covered by train}=400\text{ m}+ 100\text{ m}$

$\text{Total distance covered by train}=500\text{ m}$

Time taken by train to cross the bridge = 30 seconds.

Upon substituting these values in speed formula we will get,

$\text{Speed}=\frac{500\text{ m}}{30\text{ seconds}}$

$\text{Speed}=16.67\frac{\text{ m}}{\text{ second}}$

Therefore, the trains is going at a speed of 16.67 meters per second.