Question

It takes Max three times as long as Felix to complete the same job.

When the men work together, they can complete the job in 9 hours.
How many hours are required for Max to do the job alone?

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Answer 1

Answer: The answer is 36h

Answer 2

Let the portion of the job that Felix can complete in one hour=
`(1)/(x)`

Let the portion of the job that Max can complete in one hour=
`(1)/(3x)`

As, rate * time = portion of job done

We can simplify this like:

Portion that Felix can do in 9 hours + portion that Max can do in 9 hrs = 1 job done

`(1)/(x)*9+(1)/(3x)*9=1`

`(9)/(x)+(9)/(3x)=1`

`(9)/(x)+(3)/(x)=1`

`(12)/(x)=1`

`x=12`

Hence, Felix can complete the whole job in 12 hours working alone.

Max can alone do the job in 3(12) = 36 hours.