After travelling 27km, Karan found that `(3)/(5)` of his journey was still left. Find the distance of his whole journey.

Options

A. 135km
B. `60.5km`
C. `155km`
D. `67.5km`

Answer

To find the total distance of Karan's journey, we can follow these steps:

1. **Understand the problem**: Karan has traveled 27 km, and after this distance, he found that \( \frac{3}{5} \) of his journey is still left. This means that the distance he has already traveled (27 km) represents the remaining \( \frac{2}{5} \) of his total journey.

2. **Set up the equation**: Let the total distance of Karan's journey be \( D \) km. According to the information given:
\[ \frac{2}{5} D = 27 \text{ km} \]

3. **Solve for \( D \)**: To find \( D \), we can rearrange the equation:
\[ D = 27 \times \frac{5}{2} \]

4. **Calculate \( D \)**:
\[ D = 27 \times 2.5 = 67.5 \text{ km} \]

5. **Conclusion**: Therefore, the total distance of Karan's journey is \( 67.5 \) km.