Question

A gasoline generator provides the power to

light a construction project at night. The generator uses 5.5 gallons of gasoline for every 3 1/3 hours of operation.
Is of operation. How much
gasoline is used in 11 hours?

Answer 1

The quantity of gasoline used for 11 hours is 18.37 gallons .

Explanation:

Given as :

The quantity of gasoline use by generator = 5.5 gallons

The generator use 5.5 gallons of gasoline for duration = 3
`(1)/(3)` hours

I.e The generator use 5.5 gallons of gasoline for duration =
`(10)/(3)` hours

Let The quantity of gasoline use by generator for 11 hours = x gallons

Now, According to question

Applying unitary method

∵For
`(10)/(3)` hours of power generate ,The quantity of gasoline use = 5.5 gallons

So For 1 hour of power generate ,The quantity of gasoline use =
`(5.5)/((10)/(3))` gallons

∴ For 11 hours of power generate ,The quantity of gasoline use =
`(5.5)/((10)/(3))` × 11 gallons

i.e For 11 hours of power generate ,The quantity of gasoline use = 1.67 × 11

Or, For 11 hours of power generate ,The quantity of gasoline use = 18.37 gallons

Hence,The quantity of gasoline used for 11 hours is 18.37 gallons . Answer