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?

Question

asked Apr 21, 2018 80.1k views

2 Answers

Crisscross · Answer 1 · 2018-04-26T03:30:29+0000

Answer:

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.