A generator contains 60 gallons of fuel and uses 2.5 gallons per hour. A more efficient power generator contains 40 gallons of fuel and uses 1.5 gallond per hour. After how many hours do the generators have the same amount of fuel? Which generator runs longer? Justify your answers

Question

Mathematics

Asia Fleming

12 June, 20:58

A generator contains 60 gallons of fuel and uses 2.5 gallons per hour. A more efficient power generator contains 40 gallons of fuel and uses 1.5 gallond per hour. After how many hours do the generators have the same amount of fuel? Which generator runs longer? Justify your answers

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Answers (1)

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Gunnar Barajas · Answer 1

After how many hours do the generators have the same amount of fuel?

60 - 2.5x = 40 - 1.5x - -> x = 20 hours

Which generator runs longer?

60/2.5 = 24 hours

40/1.5 = 26 2/3 hours

The more efficient power generator runs 2 2/3 hours longer.