Question

41: Ratan takes 5 days to complete a certain job and Shankar takes
8 days to do the same job. If both of them work together, how long
will they take to complete the work ? if you solve then I will mark you brainlliest ​

Answer 1

If both of them work together, they will take 3 days to complete the work

Step-by-step explanation:

Given:

Ratan takes 5 days to complete a certain job

Shankar takes 8 days to do the same job

To find:

If both of them work together, how long will they take to complete the work?

Solution:

As per the given information, Ratan takes 5 days to complete a certain job

So, In one day, Ratan can complete $\frac{1}{5}$ part of the job

Also, As per the given information, Shankar takes 8 days to do the same job.

So, In one day, Shankar can complete $\frac{1}{8}$ part of the job

Now we have to find, how long will they take to complete the work if both of them work together.

In one day, they can complete,

$= > \frac{1}{5}+\frac{1}{8} = \frac{8+5}{40}$

$= \frac{13}{40}$ Part of the job

∴ They both can complete $\frac{13}{40}$ part of the job in one day.

So they can complete the whole work in $\frac{1}{\frac{13}{40} }$

$=\frac{40}{13}$

$=3.07$≅ 3 days

Hence, If both of them work together, they will take 3 days to complete the work