Question

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

Answer 1

Answer: The answer is 36h

Answer 2

Let the portion of the job that Felix can complete in one hour=$\frac{1}{x}$

Let the portion of the job that Max can complete in one hour= $\frac{1}{3x}$

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

$\frac{1}{x}\times9+\frac{1}{3x}\times9=1$

$\frac{9}{x}+\frac{9}{3x}=1$

$\frac{9}{x}+\frac{3}{x}=1$

$\frac{12}{x}=1$

$x=12$

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

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