Question

A father can do a certain job in x hours. his son takes twice as long to do the job. working together, they can do the job in 6 hours. how many hours does the father take to do the job?

Answer 1

i think thatans is 3 hours

Answer 2

Answer:

9 hours

Step-by-step explanation:

A father can do a certain job in x hours.

His son takes twice as long to do the job.

Son will complete work in 2x days

A father can do a part of job in 1 day =$\frac{1}{x}$

Son can do a part of job in 1 day =$\frac{1}{2x}$

Together they can do work in 1 day = $\frac{1}{x}+\frac{1}{2x}$

We are given that working together, they can do the job in 6 hours.

They can do work together in 1 day = $\frac{1}{6}$

So,$\frac{1}{x}+\frac{1}{2x}=\frac{1}{6}$

$\frac{3x}{2x^2}=\frac{1}{6}$

$\frac{3}{2x}=\frac{1}{6}$

$\frac{3 \times 6}{2}=x$

$9=x$

So, the father take 9 hours to do the job.