Answer:
at 10 PM
Step-by-step explanation:
A 12 inch candle and an 18 inch candle are lit at 6 PM.
The 12 inch candle burns 1.5 inches every hour.
The 18 inch candle burns 3 inches every hour.
Let h represents hour.
The height of 12 inch candle burns after h hours = 12 - 1.5h
The height of 18 inch candle burns after h hours = 18 - 3h
Both candles will be the same height
18 - 3h = 12 - 1.5h
1.5h = 18 - 12
1.5h = 6
h = [tex]\frac{6}{1.5}[/tex]
h = 4
After 4 hours time would be = 6 Pm + 4 hours = 10 PM
At 10:00 PM the two candles be the same height.
