Question

One person can do a certain job in fifteen minutes, and another person can do the same job in ten minutes. How many minutes will they take to do the job together?

Answer 1

It would take 5 because they could do it twice as fast

Answer 2

Answer:

They will take 6 minutes to do the job together.

Step-by-step explanation:

Consider the provided information.

It is given that the time taken by one person to do a job is 15 minutes.

The time taken by another person to do the same job is 10 minutes.

Let T represent the time taken when they both work together.

Therefore the required equation is:

$\frac{1}{T}=\frac{1}{15}+\frac{1}{10}$

$\Rightarrow\frac{1}{T}=\frac{2+3}{30}$

$\Rightarrow\frac{1}{T}=\frac{5}{30}$

$\Rightarrow\frac{1}{T}=\frac{1}{6}$

$\Rightarrow T=6$

Hence, they will take 6 minutes to do the job together.