Question

Tuktuki and Rasmani can do a job alone in 20 days and 30 days
respectively. In how many days the job will be finished if they work
together? a. 12 b.15 c.10 d.13 *
Ob
d​

Answer 1

Answer:

tuktuki work in one day = 1/20

Rasmani work in one day = 1/30

both work in one day = 1/20+1/30

= 6/60

then the days to finish the work = 6/60 × x =1

10 days

answer=c)10

pls mark my answer as brainest

Answer 2

The job will be finished in 12 days if they work together.

Correct option: a. 12 days

Given data:

Tuktuki and Rasmani can do a job alone in 20 days and 30 days respectively.

To find:

In how many days the job will be finished if they work together?

Step-by-step explanation:

Tuktuki can do a job alone in 20 days.

Then, in 1 day, she will do $\dfrac{1}{20}$ of the job.

Rasmani can do a job alone in 30 days.

Then, in 1 day, she will do $\dfrac{1}{30}$ of the job.

So, in 1 day, then will do together $(\dfrac{1}{20}+\dfrac{1}{30})$

= $\dfrac{1\times 3+1\times 2}{60}$

= $\dfrac{3+2}{60}$

= $\dfrac{5}{60}$ of the job.

Now, $\dfrac{5}{60}$ of the job is done in 1 day.

Then the whole job will be done in $(1\div\dfrac{5}{60})$ days

= $1\times\dfrac{60}{5}$ days

= 12 days

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