MATH SOLVE

4 months ago

Q:
# A 12 inch candle burns 0.5 inches every hour. An 18inch candle burns 2 inches every hour. After howmany hours will the two candles be at the same height?

Accepted Solution

A:

Answer:After 4 hours, two candles be at the same height.Step-by-step explanation:Let us assume after burning for m hours, both candles are same height.Length of candle A = 12 inchBurning rate = 0. 5 inches per hourSo, the candle burned in m hours = m x (0.5) = 0.5 m inchesThe height of candle left after m hours = 12 - 0.5 mLength of candle B = 18 inchBurning rate = 2 inches per hourSo, the candle burned in m hours = m x (2) = 2m inchesThe height of candle left after m hours = 18 - 2 mAccording to question:After m hours: Height of candle A = Height of candle Bor, 12 - 0.5 m = 18 - 2 m⇒ 12 - 18 = -2m + 0.5 mor. - 6 = -1.5 mor, m = 6 / 1.5 = 4or, m = 4Hence, after 4 hours, two candles be at the same height.