Question

Rama can complete a piece of embroidery in 20 days and seema alone can complete in 15 days .If both of them work at it together,how many days will they take to complete the embroidery​

Answer 1

Step-by-step explanation:

I hope in 7 days

it no helps?

Answer 2

Question:

Rama can complete a piece of embroidery in 20 days and seema alone can complete in 15 days .If both of them work at it together,how many days will they take to complete the embroidery​ ?

Answer:

If they work together then it will take $8\frac{4}{7}$ days to complete the work.

Given:

Rama can complete a piece of embroidery in 20 days.

Seema alone can complete in 15 days.

To find:

The number of days if they work together to complete the embroidery.

Explanation:

In 20 days Rama can complete the emboidery.

∴ In 1 day Rama can do $\frac{1}{20}$ part of the embroidery.

Similarly,

In 15 days Seema can complete the embroidery.

∴ In 1 day Seema can do $\frac{1}{15}$ part of the embroidery.

∴ In 1 day Rama and Seema together can do_

$(\frac{1}{20} +\frac{1}{15} )$

= $(\frac{3+4}{60} )$ [∵ The L.C.M. of the denominators is 60.]

= $\frac{7}{60}$

Hence,

$\frac{7}{60}$ part of the work they can together do in 1 day.

∴ 1 part of the work they can together do in _

$(\frac{60}{7} )$

= $8\frac{4}{7}$ days.

∴ To complete the work they will take $8\frac{4}{7}$ days.