Rajeev went from Delhi to Chandigarh on his motorbike. The odometer of his bike read 4200 km at the start of trip and 4460 km at the end of his trip. If Rajeev took 4 h 20 min to complete his trip. The average speed and average velocity during the trip are

Options

A. 60 m/s,0
B. 16.6 m/s,0
C. 60 m/s,60 m/s
D. 16.6 m/s,16.6 m/s

Answer

To solve the problem, we need to calculate the average speed and average velocity of Rajeev's trip from Delhi to Chandigarh. Here are the steps to find the solution:

### Step 1: Calculate the Total Distance
The total distance traveled by Rajeev can be calculated using the odometer readings at the start and end of the trip.

- **Initial odometer reading**: 4200 km
- **Final odometer reading**: 4460 km

**Total Distance** = Final Odometer Reading - Initial Odometer Reading
**Total Distance** = 4460 km - 4200 km = 260 km

### Step 2: Convert Time Taken into Hours
Rajeev took 4 hours and 20 minutes for the trip. We need to convert this time into hours.

- **Time in hours** = 4 hours + (20 minutes / 60 minutes)
- **Time in hours** = 4 + 1/3 = 4.33 hours (approximately)

### Step 3: Calculate Average Speed
Average speed is defined as the total distance traveled divided by the total time taken.

**Average Speed** = Total Distance / Total Time
**Average Speed** = 260 km / 4.33 hours ≈ 60.06 km/h

### Step 4: Calculate Average Velocity
Since Rajeev traveled in a straight line from Delhi to Chandigarh, the average velocity will be the same as the average speed in this case, but we can also express it in terms of displacement.

- **Displacement** = Final Position - Initial Position = 260 km (since he did not return)
- **Average Velocity** = Displacement / Time
**Average Velocity** = 260 km / 4.33 hours ≈ 60.06 km/h

### Final Answers
- **Average Speed**: 60.06 km/h
- **Average Velocity**: 60.06 km/h