A store sells two kinds of candles, scented and unscented. The scented candles burn 1/12 inch in 20 min. The unscented candles burn 1/6 inch in 30 min. Which type of candle burns faster in 1 hour and what is its burn rate?
The scented candles burn faster, at a rate of 1/3 inch/hr.
To determine which type of candle burns faster, we calculate the burn rates for both scented and unscented candles over the course of one hour. The scented candles burn at a rate of 1/3 inch per hour, while the unscented candles burn at a slower rate, confirming that the scented candles are indeed the faster option.
This option incorrectly states the burn rate for the scented candles. The scented candles burn 1/12 inch in 20 minutes, which translates to a burn rate of 1/3 inch per hour, not 1/4 inch. Therefore, this choice misrepresents the actual burn rate.
This is the correct choice. The scented candles burn 1/12 inch in 20 minutes, which leads to a total burn of 1 inch in 60 minutes (1 hour), resulting in a burn rate of 1/3 inch per hour. This rate confirms that scented candles burn faster than their unscented counterparts.
This option inaccurately claims that the unscented candles burn faster. The unscented candles burn 1/6 inch in 30 minutes, which equals a burn rate of 1/4 inch per hour. Thus, they are slower than the scented candles, making this choice incorrect.
This statement is false because the scented candles have a burn rate of 1/3 inch per hour, while the unscented candles only burn at 1/4 inch per hour. Therefore, this choice misrepresents the burn rates for both types of candles.
In comparing the burn rates of scented and unscented candles, we find that the scented candles burn faster at a rate of 1/3 inch per hour. The unscented candles, burning at a rate of 1/4 inch per hour, are slower by comparison. Thus, understanding these rates can help consumers make informed choices based on their preferences for candle performance.
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