A train with a length of 150m long, takes 30 seconds to cross a 500m long bridge. How much time will the take to cross a 370m long platform?

Question: A train with a length of 150m long, takes 30 seconds to cross a 500m long bridge. How much time will the train take to cross a 370m long platform?

• 18 sec

• 24 sec

• 30 sec

• 36 sec

Answer:

The correct answer is: 24 sec

Explanation:

To determine the time required for the train to cross a 370m long platform, we first need to find the speed of the train.

Step 1: Calculate the speed of the train

Length of the train (Lt) = 150m

Length of the bridge (Lb) = 500m

Time to cross the bridge (Tb) = 30 seconds

When the train crosses the bridge, it travels a distance equal to its own length plus the length of the bridge, which is:

Distance = Lt + Lb = 150m + 500m = 650m

Using the formula for speed: Speed = Distance / Time

We get: Speed = 650m / 30s \approx 21.67 m/s

Step 2: Calculate the time to cross the 370m long platform

Length of the platform (Lp) = 370m<br>Length of the train (Lt) = 150m

Total distance to be covered when the train crosses the platform is: Total Distance = Lt + Lp = 150m + 370m = 520m

Using the same formula for time: Time = Distance / Speed

We calculate: Time = 520m / 21.67 m/s \approx 24 seconds

Therefore, the train will take approximately 24 seconds to cross a 370m long platform. Hence, the correct option is 24 sec.