Distance between Rajpur and Somgarh

= Average speed×Time

=$\frac{69\times 35}{60} \mathrm{km} =\frac{161}{4} \mathrm{km}$

New speed =(69+36) Km/hr

 = 105 km/hr

$$\begin{gathered} \mathrm{Time} =\frac{\mathrm{Distance}}{\mathrm{time}}=\frac{161}{4\times 105}\mathrm{h} \\ =\frac{161\times 60}{4\times 105}\min \\ = 23 \min \end{gathered}$$

Hence, Option B is correct.