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

They will take 6 minutes to do the job together.

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:

`(1)/(T)=(1)/(15)+(1)/(10)`

`\Rightarrow(1)/(T)=(2+3)/(30)`

`\Rightarrow(1)/(T)=(5)/(30)`

`\Rightarrow(1)/(T)=(1)/(6)`

`\Rightarrow T=6`

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