Rameshwar goes on a trip on his motorcycle and rides for 405 km. If he rides for 6 hours at a speed of 45kmhr, find at what speed he travels for the remaining 3 hours of the journey?

Options

A. 55km/hr
B. 52km/hr
C. 45km/hr
D. 40km/hr

Answer

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

### Step 1: Calculate the distance covered in the first part of the journey.
Rameshwar rides for 6 hours at a speed of 45 km/hr.

Using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values:
\[ \text{Distance} = 45 \, \text{km/hr} \times 6 \, \text{hours} \]
\[ \text{Distance} = 270 \, \text{km} \]

### Step 2: Determine the remaining distance to be covered.
The total distance of the trip is 405 km.

Remaining distance can be calculated as:
\[ \text{Remaining Distance} = \text{Total Distance} - \text{Distance Covered} \]
\[ \text{Remaining Distance} = 405 \, \text{km} - 270 \, \text{km} \]
\[ \text{Remaining Distance} = 135 \, \text{km} \]

### Step 3: Calculate the speed for the remaining part of the journey.
Rameshwar has 3 hours to cover the remaining distance of 135 km.

Using the formula for speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Substituting the values:
\[ \text{Speed} = \frac{135 \, \text{km}}{3 \, \text{hours}} \]
\[ \text{Speed} = 45 \, \text{km/hr} \]

### Final Answer:
Rameshwar travels at a speed of 45 km/hr for the remaining 3 hours of the journey.

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