Question

Anil can do a piece of a work in 5 days and Ankur in 4 days. how long will they take to do the same work , if they work together ​

Answer 1

Answer:

20/9  or   $2 \frac{2}{9}$

Step-by-step explanation:

According to the information provided in the question it is given as

Anil do piece of work =5 days

Ankur do same work =4 days

We need to find the time in days if both do the work together

One day work of Anil = 1 /5

One day work of Ankur= 1 /4

Let us assume total work done =x

Hence one day work =1 /x

Making equation of work as

Anil + Ankur = work

$\frac{1}{5} +\frac{1}{4} =\frac{1}{x}$

$\frac{4+ 5}{20} =\frac{1}{x}$

Hence

$\frac{9}{20}= \frac{1}{x}$

$x =\frac{20}{9}$

It means they take total  20 /9 days to complete the work together

Since  29 /9 can be written as  $2\frac{2}{9}$