Question

Abhishek, vijay and prabhat can do a piece of work in 5, 10 and 30 days respectively. in how many days can they finish the work if all work together?

Answer 1

calculate each one work separately thn add it

Answer 2

Answer:

3 days

Step-by-step explanation:

Given,

Abhishek can do the work in 5 days,

His one day work when he works alone = $\frac{1}{5}$

Vijay can do the work in 10 days,

His one day work when he works alone = $\frac{1}{10}$

Prabhat can do the work in 30 days,

His one day work when he works alone = $\frac{1}{30}$

Thus, the total one day work when all work together

$=\frac{1}{5}+\frac{1}{10}+\frac{1}{30}$

$=\frac{6+3+1}{30}$

$=\frac{10}{30}$

$=\frac{1}{3}$

Hence, the time taken by them = 1/ their total one day work

$=\frac{1}{1/3}$

$=3\text{ days}$