Explanation:

- Train A is 195 meters long.

- Train B is 165 meters long.

- Train A's speed is 77 km/h.

- Train B's speed is 85 km/h.

- Both trains travel in the same direction.

To find the time taken for Train B to pass Train A:

- Calculate the relative speed: (85 - 77) km/h = 8 km/h.

- Convert relative speed to meters/second: $$8\times \left(\frac{1000}{3600}\right)=\frac{20}{9}\text{ m/s}$$

Add the lengths of the trains:

- Total length = 195 m + 165 m = 360 m.

Calculate time:

- Time = (Total length) / (Relative speed) = $$360÷\left(\frac{20}{9}\right)=\frac{360\times 9}{20}=162\text{ seconds}$$

?? Highlighting the correct answer: Option 1 - 162 seconds