Question

Haashib can do a piece of work in 27 days while kavita alone can do it in 54 days. in how many days haashib and kavita working together can do the same work?

Answer 1

one day work of haashib=1/27
one day work of kavitha=1/54
so,
one day work of both haashib and kavitha is 1/27+1/54
3/54
1/18.
Both kavitha and haashid can complete the work in 18 days.
HOPE IT HELPS

Answer 2

The No of days to complete the work together is 18 days

Given:

Haashib can do a piece of work in 27 days

Kavita can do same work in 54 days

To find:

How many days it will take to complete the work when Haashib and Kavita work together

Solution:

From given data,  

Haashib can do the work in 27 days

⇒ the work can done by Haashib in 1 day = $\frac{1}{27}$

Kavita can do same work in 54 days  

⇒ the work can done by Kavita in 1 day = $\frac{1}{54}$

The work can be done by Haashib and Kavita together in 1 day =  $\frac{1}{27}$ + $\frac{1}{54}$

= $\frac{2+1}{54}$ = $\frac{3}{54}$ = $\frac{1}{18}$  

They will complete  $\frac{1}{18}$ of work in 1 day

The No of days to complete 1 work = $\frac{1}{\frac{1}{18} } (1)$  = $\frac{18}{1}$ = 18

Therefore, Haashib and Kavita together can complete the work in 18 days

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