Two cylindrical candies have unequal heights and diameters. The shorter lasts for 13 hours and the longer for 9 hours. They are lit at the same time and after 5 hours their heights are the same. What is the ratio of their original heights?
1
1 ∶ 2
2
13 ∶ 18
3
9 ∶ 13
4
√5 ∶ 3