A train is running at a speed of 116 km/hr .The distance covered by the train in metres in 18 seconds is:

Options

A. 900 m
B. 1160 m
C. 508 m
D. 580 m

Answer

To find the distance covered by a train running at a speed of 116 km/hr in 18 seconds, we can follow these steps:

### Step 1: Convert the speed from km/hr to m/s
To convert kilometers per hour (km/hr) to meters per second (m/s), we use the conversion factor:
\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]
So, we multiply the speed by \(\frac{5}{18}\):
\[ \text{Speed in m/s} = 116 \times \frac{5}{18} \]

### Step 2: Calculate the speed in m/s
Calculating the above expression:
\[ \text{Speed in m/s} = 116 \times \frac{5}{18} = \frac{580}{18} \text{ m/s} \]

### Step 3: Calculate the distance covered in 18 seconds
The formula to calculate distance when speed and time are known is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Here, the time is given as 18 seconds. So we substitute the values:
\[ \text{Distance} = \left(\frac{580}{18}\right) \times 18 \]

### Step 4: Simplify the distance calculation
When we multiply:
\[ \text{Distance} = \frac{580 \times 18}{18} \]
The 18 in the numerator and denominator cancels out:
\[ \text{Distance} = 580 \text{ meters} \]

### Final Answer
The distance covered by the train in 18 seconds is **580 meters**.

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