Correct Answer: $25 \frac{2}{3}$

Solution : Speed of A = 33 km/hr
After crossing each other,
Time taken by A to reach destination = $\frac{49}{9}$ hours
Time taken by B to reach destination = 9 hours
Let the speed of B be v km/hr.
Let both A and B meet at point Z after t hours.
The time taken by A and B to cover XZ is t hrs and 9 hrs respectively.
Now, Speed = $\frac{\text{Distance}}{\text{Time}}$
⇒ XZ = 33 × t = v × 9      ----(1)
Similarly, the Time taken by A and B to cover YZ is $\frac{49}{9}$ hours and t hours respectively.
⇒ YZ = $\frac{49}{9}$ × 33 = v × t       ----(2)
Dividing (1) by (2), we get,
$\frac{33\text{t}}{(\frac{539}{3})} = \frac{9\text{v}}{\text{vt}}$
⇒ t ² = 9 × ($\frac{49}{9}$)
⇒ t = $\sqrt{49}$
$\therefore$ t = 7 hours
Substituting t in (1), we get
33 × 7 = v × 9
$\therefore$ v = $\frac{77}{3}$ km/hr = $25\frac{2}{3}$ km/hr
Hence, the correct answer is $25\frac{2}{3}$ km/hr.