The speed of a 120 m long train is 50 km per hour. How much time will it take to pass a platform 600 m long?

Question

Accepted Answer

To determine how much time the train will take to pass a platform 600 meters long, we need to calculate the total distance the train will cover and then use the speed to find the time taken.

1. **Calculate the total distance to be covered:**
   - The train is 120 meters long, and the platform is 600 meters long.
   - Total distance = Length of train + Length of platform = 120 m + 600 m = 720 m

2. **Convert the speed from km/h to m/s:**
   - The speed of the train is given as 50 km/h.
   - To convert km/h to m/s, we use the conversion factor: 1 km/h = 5/18 m/s.
   - Speed in m/s = 50 km/h × (5/18) = 250/18 m/s ≈ 13.89 m/s

3. **Calculate the time taken to cover the total distance:**
   - Time = Distance / Speed
   - Time = 720 m / 13.89 m/s ≈ 51.84 seconds

Therefore, the time taken for the train to pass the platform is approximately 51.84 seconds, which corresponds to Option 2.

**Explanation for why other options are incorrect:**

- **Option 1: 50.5 seconds**
  - This option is incorrect because when we calculate the time using the correct speed and distance, the result is approximately 51.84 seconds, not 50.5 seconds.

- **Option 3: 52.75 seconds**
  - This option is incorrect because the calculated time of 51.84 seconds does not match 52.75 seconds. The discrepancy arises from incorrect calculations or assumptions.

- **Option 4: 58 seconds**
  - This option is incorrect because it significantly overestimates the time required. The correct calculation yields 51.84 seconds, which is much less than 58 seconds.

In conclusion, the correct answer is Option 2, 51.84 seconds, based on accurate calculations of distance and speed.