A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at a rate of 1 divided by 5 inch per hour. After how many hours will both candles be the same height ?

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.