Answer:
It will take 11 hours for her to reach the top of the tree.
Explanation:
She climbs for 1 hour and rests for 1 hour. For 1 hour she climbs 2 m every hour but she slides down 1 m every hour that she rests
So
Initially: At the ground
In 1 hour: At 2 m
In 2 hours: At 2 - 1 = 1 m
In 3 hours: At 2 + 1 = 3 m
In 4 hours: At 3 - 1 = 2m
In 5 hours: At 2 + 2 = 4m
In 6 hours: At 4 - 1 = 3m
In 7 hours: At 3 + 2 = 5m
In 8 hours: At 5 - 1 = 4m
In 9 hours: At 4 + 2 = 6m
In 10 hours: At 6 - 1 = 5m
In 11 hours: At 5 + 2 = 7m = top of tree
It will take 11 hours for her to reach the top of the tree.