Patna expresses travels first 560 km in 7 hours and rest 360 km in 9 hours.What is the average speed of the train?

Options

A. 39 km/h
B. 43 km/h
C. 63 km/h
D. 57.5 km/h

Answer

To find the average speed of the train, we can follow these steps:

### Step 1: Calculate Total Distance
The total distance traveled by the train is the sum of the two segments of the journey.
- First segment: 560 km
- Second segment: 360 km

**Total Distance = 560 km + 360 km = 920 km**

### Step 2: Calculate Total Time
Next, we need to calculate the total time taken for the journey.
- Time for the first segment: 7 hours
- Time for the second segment: 9 hours

**Total Time = 7 hours + 9 hours = 16 hours**

### Step 3: Calculate Average Speed
The average speed can be calculated using the formula:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

Substituting the values we calculated:
\[ \text{Average Speed} = \frac{920 \text{ km}}{16 \text{ hours}} \]

### Step 4: Perform the Division
Now, we divide 920 by 16.
\[ \text{Average Speed} = 57.5 \text{ km/h} \]

### Final Answer
The average speed of the train is **57.5 km/h**.

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