A train is moving at a speed of 56 km/hr covers a certain distance in 8 hours. If the same distance is to be covered in 7 hours, then what will be the speed (in km/hr) of the train? (a) 64 (b) 54 (c) 48 (d) 63

Options

A. 64
B. 54
C. 48
D. 63

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the Distance
We know the speed of the train and the time it takes to cover a certain distance. The formula for distance is:

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

Given:
- Speed = 56 km/hr
- Time = 8 hours

Now, we can calculate the distance:

\[ \text{Distance} = 56 \, \text{km/hr} \times 8 \, \text{hours} \]
\[ \text{Distance} = 448 \, \text{km} \]

### Step 2: Determine the Required Speed for 7 Hours
Now, we need to find the speed required to cover the same distance (448 km) in 7 hours. We will use the speed formula:

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

Given:
- Distance = 448 km
- Time = 7 hours

Now, we can calculate the speed:

\[ \text{Speed} = \frac{448 \, \text{km}}{7 \, \text{hours}} \]
\[ \text{Speed} = 64 \, \text{km/hr} \]

### Conclusion
The speed of the train required to cover the same distance in 7 hours is **64 km/hr**.

### Answer
The answer is (a) 64 km/hr.

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