Statement 1
Lisa spends two minutes per room while Paul uses three minutes per room
At the end of 6 minutes, Lisa would have checked 3 rooms While Paul will just be finishing 2 rooms.

Rooms Checked by Lisa
$$BCD\left(6\min utes\right)$$
$$EFG\left(6\min utes\right)$$
$$HIJ\left(6\min utes\right)$$
$$K\left(1\min utes\right)$$

Rooms checked by Paul
$$QP\left(6\min utes\right)$$
$$ON\left(6\min utes\right)$$
$$ML\left(6\min utes\right)$$
$$K\left(1\min utes\right)$$

Lisa and Paul will meet in the room k after 19 minutes,
Statement 1 is INSUFFICIENT.

Statement 2
Lisa spends 10 minutes less time in each room than Paul does.

This shows that Lisa is moving at a faster pace than Paul but we don't know the the exact time that each of them spent in a room.
Hence statement 2 is INSUFFICIENT.
Only statement 1 is SUFFICIENT.
$$answer\ is\ Option\ A$$