Question

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?

Answer 1

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