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shepuryov [24]
4 years ago
9

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

Mathematics
2 answers:
Anna007 [38]4 years ago
6 0

Answer: The answer is 36h

zmey [24]4 years ago
4 0

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.


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