Question

A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (in m/s) of the train?

Answer 1

To find the length of the train and its speed, we can use the formula Length = Speed x Time. By setting up and solving equations, we can find that the length of the train is 200 meters and the speed of the train is 20 m/s.

Step-by-step explanation:

To find the length of the train, we can use the formula:

Length = Speed x Time

Given that the train takes 10 seconds to pass you and 30 seconds to pass the bridge, we can calculate:

Length of train = Speed of train x Time taken to pass you = Speed x 10

Length of train + Length of bridge = Speed of train x Time taken to pass the bridge = Speed x 30

Substituting the values, we have:

Speed x 10 + 100 = Speed x 30

Simplifying the equation, we get:

Speed = 400/20 = 20 m/s

Substituting the value of speed back into the first equation, we have:

Length of train = 20 x 10 = 200 meters

Therefore, the length of the train is 200 meters and the speed of the train is 20 m/s.