Question

A 14.4 kg gas cylinder runs for 104 hours when the smaller burner on the gas stove is fully opened while it runs for 80 hours when the larger burner on the gas stove is fully opened. Which of these values are closest to the percentage difference in the usage of gas per hour, of the smaller burner over the larger burner?

• A. 26.23%
• B. 30%
• C. 32.23%
• D. 23.07%

Answer 1

The Correct Option is D

To determine the percentage difference in gas usage per hour between the smaller and larger burners, we need to calculate the gas consumption rate for each burner and then find the percentage difference between these rates.

1. Calculate the gas usage rate for each burner:

• Gas usage for the smaller burner: \( \frac{14.4 \, \text{kg}}{104 \, \text{hours}} \approx 0.1385 \, \text{kg/hour} \)
• Gas usage for the larger burner: \( \frac{14.4 \, \text{kg}}{80 \, \text{hours}} = 0.18 \, \text{kg/hour} \)

2. Calculate the percentage difference in gas usage rate using the formula:

\[\text{Percentage Difference} = \left(\frac{|0.1385 - 0.18|}{0.18}\right) \times 100\%\]

3. Now compute the above expression:

\[\left(\frac{0.0415}{0.18}\right) \times 100\% \approx 23.07\%\]

Thus, the percentage difference in the gas usage of the smaller burner over the larger burner is approximately 23.07%.