Question

Mrs. Kouris is comparing two generators at Home Depot. The Honda generator contains 60 gallons of fuel and uses 2.5 gallons per hour. The Ryobi generator contains 40 gallons of fuel and uses 1.5 gallons per hour. Write and solve an equation to determine how many hours the generators have to run to have the same amount of fuel

Answer 1

Answer: 20.

Explanation:

Let x = Number of hours take to have the same fuel.

The Honda generator contains 60 gallons of fuel and uses 2.5 gallons per hour.

Fuel remained in generator after x hours = 60- 2.5x

The Ryobi generator contains 40 gallons of fuel and uses 1.5 gallons per hour.

Fuel remained in generator after x hours = 40- 1.5x

As per given,

`60- 2.5x = 40-1.5x\\\Rightarrow\ 2.5x-1.5x=60-40\\\Rightarrow\ x=20`

hence, the required number of hours = 20.