Question

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. after how many hours will both candles be the same height? enter your answer in the box.

Answer 1

5 hour

Explanation:

Answer 2

Red candle:
Initial height = 8 in
Burn rate = 710 in/h
After x hours, the height will be
h₁ = 8 - 710x

Blue candle:
Initial height = 6 in
Burn rate = 15 in/h
After x hours, the height will be
h₂ = 6 - 15x

When the two heights are equal, then
h₁ = h₂
8 - 710x = 6 - 15x
-695x = -2
x = 0.00288 hours

Answer:
The answer may take one of these forms:
0.003 hours, or
0.0029 hours, or
0.00288 hours.