Question

Rahul can do 2 by 7 of a certain work in 6 days wle Suresh can do 3 by 5 of the same work in 9 days they started work together but after 7 days Rahul left the work find in how many days can complete the remaining work

Answer 1

total work will be completed in 10 days. explanation is in picture.

Answer 2

Answer: The remaining work will be completed in 10 days.

Step-by-step explanation:

Since we have given that

Rahul can do 2 by 7 of a certain work in 6 days.

So, Number of days Rahul can do is given by

$\dfrac{6}{\dfrac{2}{7}}\\\\=3\times 7\\\\=21$

Suresh can do 3 by 5 of the same work in 9 days.

So, Number of days Suresh can do is given by

$\dfrac{9}{\dfrac{3}{5}}\\\\=3\times 5\\\\=15\ days$

But after 7 days Rahul left the work,

Work done by Rahul in 1 day = $\dfrac{1}{21}$

Work done by Rahul in 7 days = $\dfrac{7}{21}=\dfrac{1}{3}$

Remaining work will finished by Suresh.

Remaining work = $\dfrac{2}{3}$

Number of days to complete the remaining work is given by

$\dfrac{2}{3}\times 15\\\\=2\times 5\\\\=10\ days$

Hence, The remaining work will be completed in 10 days.