A train is travelling at the speed of 90 km/h. How many seconds will take to cover a distance of 2 km?

Options

A. 70
B. 80
C. 60
D. 90

Answer

To find out how many seconds it will take for a train traveling at a speed of 90 km/h to cover a distance of 2 km, we can follow these steps:

### Step 1: Understand the formula for time
The formula to calculate time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 2: Substitute the values into the formula
Here, the distance is 2 km and the speed is 90 km/h. We can substitute these values into the formula:
\[ \text{Time} = \frac{2 \text{ km}}{90 \text{ km/h}} \]

### Step 3: Simplify the calculation
Now, we perform the division:
\[ \text{Time} = \frac{2}{90} \text{ hours} \]
\[ \text{Time} = \frac{1}{45} \text{ hours} \]

### Step 4: Convert hours into seconds
Since we need the time in seconds, we convert hours to seconds. There are 3600 seconds in an hour (60 minutes × 60 seconds):
\[ \text{Time in seconds} = \frac{1}{45} \text{ hours} \times 3600 \text{ seconds/hour} \]

### Step 5: Perform the multiplication
Now we calculate:
\[ \text{Time in seconds} = \frac{3600}{45} \]
\[ \text{Time in seconds} = 80 \text{ seconds} \]

### Final Answer
Therefore, it will take the train 80 seconds to cover a distance of 2 km.