Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that . So
Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that . So
After how many hours will both candles be the same height ?
This is t when
Multiplying by (-1)
Both candles will have the same height after 4 hours.