Atwelve inch candle and an 18 inch candle are lit at 6pm. the 12-in. candle burns 0.5 inches every hour. the 18 inch candle burns two inches every hour. at what time will the two candles be the same height? let h represent the number of hours.

At 10 PM both candles will be same height.

Step-by-step explanation:

Let h represent the number of hours.

We have  twelve inch candle and an 18 inch candle are lit at 6pm and the 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns 2 inch every hour.

Height 18 inch candle after h hours, = 18 - 2h

Height 12 inch candle after h hours, = 12 - 0.5h

At same height we have

                18 - 2h = 12 - 0.5h

                   1.5 h = 18 - 12

                         h = 4 hours.

Time = 6 PM + 4 hours = 10 PM

At 10 PM both candles will be same height.