The speed of the ‘Train 18’ is 180 km/hr. The distance covered byit in 10 seconds is:

Options

A. 100 metres
B. 500 metres
C. 700 metres
D. 648 metres

Answer

To find the distance covered by 'Train 18' in 10 seconds, we can follow these steps:

### Step 1: Convert the speed from km/hr to m/s
The speed of the train is given as 180 km/hr. We need to convert this speed into meters per second (m/s) because the distance we want to find is in meters and the time is in seconds.

1 km = 1000 meters
1 hour = 3600 seconds

To convert km/hr to m/s, we use the formula:
\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{1000 \text{ m}}{3600 \text{ s}} \]

Substituting the given speed:
\[ \text{Speed in m/s} = 180 \times \frac{1000}{3600} \]

### Step 2: Simplify the conversion
Now we simplify the fraction:
\[ \frac{1000}{3600} = \frac{10}{36} = \frac{5}{18} \]

So, substituting back:
\[ \text{Speed in m/s} = 180 \times \frac{5}{18} \]

### Step 3: Calculate the speed in m/s
Now we perform the multiplication:
\[ \text{Speed in m/s} = 180 \times \frac{5}{18} = 10 \times 5 = 50 \text{ m/s} \]

### Step 4: Calculate the distance covered in 10 seconds
Now that we have the speed in m/s, we can find the distance covered in 10 seconds using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values:
\[ \text{Distance} = 50 \text{ m/s} \times 10 \text{ s} = 500 \text{ meters} \]

### Conclusion
The distance covered by 'Train 18' in 10 seconds is **500 meters**.

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