Answer :
It would take 93.33 hours to use 14 kilowatt hours of electricity.
Step-by-step explanation:
Given,
Electricity used in one hour = 3/20 kilowatt hours
Ratio of time to electricity = 1 : 3/20
Let,
x be the number of hours to use 14 kilowatt hours electricity.
Ratio of time to electricity = x : 14
Using proportion;
Ratio of time to electricity :: Ratio of time to electricity
[tex]1:\frac{3}{20}::x:14[/tex]
Product of mean = Product of extreme
[tex]\frac{3}{20}*x=1*14\\\\\frac{3}{20}x=14[/tex]
Multiplying both sides by 20/3
[tex]\frac{20}{3}*\frac{3}{20}x=14*\frac{20}{3}\\\\x=\frac{280}{3}\\\\x=93.33\ hours[/tex]
It would take 93.33 hours to use 14 kilowatt hours of electricity.
Keywords: ratio, proportion
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