Question

Sanjay can do a piece of work in 16 days while Ramesh can do it in 20 days. They worked together for 5 days and then Ramesh left. In how many days will Sanjay complete the remaining work?

Answer 1

Answer:

11

Step-by-step explanation:

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Answer 2

Sanjay can complete the work in 7 days

Given:

Sanjay can do a piece of work in 16 days

Ramesh can do it in 20 days

They worked together for 5 days

To find:

In how many days will Sanjay complete the remaining work

Solution:

Sanjay can do a piece of work in 16 days

⇒ The work can be done by Sanjay in one day = $\frac{1}{16}$  

Ramesh can do the same work in 20 days

⇒ The work can be done by Ramesh in one day = $\frac{1}{20}$

The work can be done by both together 1 day = $\frac{1}{16}$ + $\frac{1}{20}$  

= $\frac{5+ 4}{80}$ = $\frac{9}{80}$      

Given Sanjay and Ramesh worked together for 5 days

⇒ work done in 5 days = $5 (\frac{9}{80})$ = $\frac{9}{16}$  

After completion of $\frac{9}{16}$ work the remaining work

= $1 - \frac{9}{16}$  $= \frac{16 - 9}{16} =$ $\frac{7}{16}$  

After 5 days Ramesh left work the remaining work is done by Sanjay

As we know Sanjay can complete  $\frac{1}{16}$  work in 1 day  

The number of days to complete $\frac{7}{16}$ of work = $\frac{1}{\frac{1}{16} } (\frac{7}{16} )$

= $(\frac{16}{1} )(\frac{7}{16} )$ = 7 days

Therefore, Sanjay can complete the work in 7 days

#SPJ2