A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.
A. 62 kmph
B. 64 kmph
C. 65 kmph
D. 70 kmph

Options

A. A
B. B
C. D
D. C

Answer

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

### Step 1: Calculate the total distance traveled by the train.
The train travels two segments:
- First segment: 40 km
- Second segment: 30 km

**Total Distance = 40 km + 30 km = 70 km**

### Step 2: Calculate the time taken for each segment.
**For the first segment (40 km at 80 km/h):**
- Time = Distance / Speed
- Time = 40 km / 80 km/h = 0.5 hours

**For the second segment (30 km at 60 km/h):**
- Time = Distance / Speed
- Time = 30 km / 60 km/h = 0.5 hours

### Step 3: Calculate the total time taken for the journey.
**Total Time = Time for first segment + Time for second segment**
- Total Time = 0.5 hours + 0.5 hours = 1 hour

### Step 4: Calculate the average speed.
**Average Speed = Total Distance / Total Time**
- Average Speed = 70 km / 1 hour = 70 km/h

### Conclusion:
The average speed of the train is **70 km/h**.