A train is moving at a uniform speed of 75 Km/hour. How far will it travel in 20 minutes ?

Question

Accepted Answer

To determine how far the train will travel in 20 minutes at a uniform speed of 75 km/hour, we need to perform a simple calculation using the formula for distance, which is:

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

1. **Convert Time to Hours:**
   Since the speed is given in kilometers per hour, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so:

$$ 20 \text{ minutes} = \frac{20}{60} \text{ hours} = \frac{1}{3} \text{ hours} $$

2. **Calculate Distance:**
   Now, using the formula:

$$ \text{Distance} = 75 \text{ km/hour} \times \frac{1}{3} \text{ hours} = 25 \text{ km} $$

Therefore, the train will travel 25 kilometers in 20 minutes.

**Explanation of Options:**

- **Option 1 (25 Km):** This is the correct answer. As calculated above, the train travels 25 kilometers in 20 minutes when moving at a speed of 75 km/hour.

- **Option 2 (20 Km):** This option is incorrect because it results from a miscalculation. If the train were to travel 20 kilometers in 20 minutes, it would imply a speed of 60 km/hour, not 75 km/hour.

- **Option 3 (15 Km):** This option is incorrect because it suggests a lower distance than what is actually covered. If the train traveled 15 kilometers in 20 minutes, it would imply a speed of 45 km/hour, which is not the given speed.

- **Option 4 (7.5 Km):** This option is incorrect because it significantly underestimates the distance. If the train traveled 7.5 kilometers in 20 minutes, it would imply a speed of 22.5 km/hour, which is far below the given speed of 75 km/hour.

In conclusion, Option 1 is the correct answer because it accurately reflects the distance the train travels in 20 minutes at the given speed of 75 km/hour.