Ared candle is 8 inches tall and burns at a rate of 710 inch per hour. a blue candle is 6 inches tall and burns at a rate of 15 inch per hour. after how many hours will both candles be the same height?

At 0.00287 hours will both candles be the same height.

Step-by-step explanation:

Given : A red candle is 8 inches tall and burns at a rate of 710 inch per hour. A blue candle is 6 inches tall and burns at a rate of 15 inch per hour.

To find : After how many hours will both candles be the same height?

Solution :

Let the number of hour both candles be the same height is 'x'.

A red candle is 8 inches tall and burns at a rate of 710 inch per hour.

The height of the red candle after x hours is

A blue candle is 6 inches tall and burns at a rate of 15 inch per hour.

The height of the blue candle after x hours is

When the two heights are equal, then

So,

Therefore, At 0.00287 hours will both candles be the same height.