Answer: 6 times further
Explanation:
Initial velocity is the same that she uses on earth vertically and horizontally
Vertically we can say
V = -g t
If g is 1/6 earth gravity, then t is 6 times earth time.
Then, horizontally, with the same initial time, no incidence of gravity and knowing t
X= v t
Distance in the moon is 6 times distance in the earth.