A train is running at 72 kmph. The distance covered by the train in 15 minutes is

Options

A. A) 27 km
B. B) 28 km
C. C) 18 km
D. D) 36km

Answer

To solve the problem of finding the distance covered by a train running at 72 km/h in 15 minutes, we can follow these steps:

### Step 1: Understand the relationship between speed, distance, and time.
The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

### Step 2: Convert the time from minutes to hours.
Since the speed is given in kilometers per hour (km/h), we need to convert the time from minutes to hours.
- 15 minutes can be converted to hours by dividing by 60:
\[ \text{Time in hours} = \frac{15 \text{ minutes}}{60} = \frac{1}{4} \text{ hours} \]

### Step 3: Substitute the values into the distance formula.
Now we can substitute the speed and the converted time into the distance formula:
- Speed = 72 km/h
- Time = \( \frac{1}{4} \) hours
\[ \text{Distance} = 72 \text{ km/h} \times \frac{1}{4} \text{ hours} \]

### Step 4: Perform the multiplication.
Now we calculate the distance:
\[ \text{Distance} = 72 \times \frac{1}{4} = \frac{72}{4} = 18 \text{ km} \]

### Step 5: Conclusion.
The distance covered by the train in 15 minutes is 18 km.

### Final Answer:
The correct answer is 18 km.

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