A train 110 metres in length runs through a station at the rate of 36 km per hour .How long will it take to pass a given point ?

Options

A. 11 sec
B. 12 sec
C. 13 sec
D. 15 sec

Answer

To find out how long it will take for the train to pass a given point, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed of the train is given as 36 km/h. To convert this to meters per second (m/s), we can use the conversion factor:
\[ 1 \text{ km/h} = \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{1}{3.6} \text{ m/s} \]
So,
\[ 36 \text{ km/h} = 36 \times \frac{1}{3.6} \text{ m/s} \]
Calculating this gives:
\[ 36 \div 3.6 = 10 \text{ m/s} \]

### Step 2: Calculate the time taken to pass the point
The time taken to pass a point can be calculated using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
In this case, the distance is the length of the train (110 meters) and the speed is 10 m/s. Therefore:
\[ \text{Time} = \frac{110 \text{ m}}{10 \text{ m/s}} \]
Calculating this gives:
\[ \text{Time} = 11 \text{ seconds} \]

### Final Answer
The train will take **11 seconds** to pass a given point.

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