A train is moving at the speed of 90 km/hr. How many seconds will it take to cover a distance of 2275 metre?

Options

A. 96
B. 91
C. 86
D. 93

Answer

To solve the problem of how long it takes for a train moving at 90 km/hr to cover a distance of 2275 meters, we can follow these steps:

### Step 1: Convert the speed from km/hr to m/s
The speed of the train is given as 90 km/hr. To convert this to meters per second (m/s), we use the conversion factor where 1 km = 1000 meters and 1 hour = 3600 seconds.

\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{1000 \text{ m}}{3600 \text{ s}} \]

Substituting the given speed:

\[ \text{Speed in m/s} = 90 \times \frac{1000}{3600} \]

### Step 2: Simplify the conversion
Now we simplify the fraction:

\[ \text{Speed in m/s} = 90 \times \frac{1000}{3600} = 90 \times \frac{1}{3.6} = 25 \text{ m/s} \]

### Step 3: Use the formula for time
We know that:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

We can rearrange this formula to find the time:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 4: Substitute the values
Now we substitute the distance (2275 meters) and the speed (25 m/s) into the formula:

\[ \text{Time} = \frac{2275 \text{ m}}{25 \text{ m/s}} \]

### Step 5: Calculate the time
Now we perform the division:

\[ \text{Time} = 91 \text{ seconds} \]

### Final Answer
The train will take **91 seconds** to cover a distance of 2275 meters.

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