A motorcylcle is moving with a velocity 80km/hr ahead of a car moving with a velocity of 65 km/hr in the same direction. What is the relative velocity of the motorcyle with respect ot the car:-

Options

A. 15 km/hr
B. 20 km/hr
C. 25 km/hr
D. 145 km/hr.

Answer

To find the relative velocity of the motorcycle with respect to the car, we can follow these steps:

### Step 1: Identify the velocities
- The velocity of the motorcycle (Vm) = 80 km/hr
- The velocity of the car (Vc) = 65 km/hr

### Step 2: Determine the direction of motion
Both the motorcycle and the car are moving in the same direction.

### Step 3: Use the formula for relative velocity
The relative velocity of the motorcycle with respect to the car (Vr) can be calculated using the formula:
\[ Vr = Vm - Vc \]

### Step 4: Substitute the values into the formula
Now, substituting the values we identified:
\[ Vr = 80 \text{ km/hr} - 65 \text{ km/hr} \]

### Step 5: Perform the calculation
Calculating the above expression gives:
\[ Vr = 15 \text{ km/hr} \]

### Conclusion
The relative velocity of the motorcycle with respect to the car is 15 km/hr.

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