How to solve : a store sells two kinds of candles, scented and unscented. the scented candles burn 1/12 inches in 20 minutes. then unscented candles burn 1/6 inches in 30 minutes. which type of candle burns in 1 hour and what is its burn rate?

The first thing we must observe is that the hourly rate for each candle is:

scented candles:

(1/12) / (20/60)

Simplifying:

= (1/12) / (10/30)

= (1/12) / (5/15)

= (1/12) / (1/3)

= (3/12)

= (1/4) inches / hour

Unscented candles:

(1/6) / (30/60)

Simplifying:

= (1/6) / (15/30)

= (1/6) / (3/6)

= (1/6) / (1/2)

= (2/6)

= (1/3) inches / hour

Answer:

The unscented candles burn faster at a rate of:

(1/3) inches / hour