Question

30 girls can finish a work in 40 days. After how many days
should 10 girls leave the work so that it may be finished in 46
days, if all the 30 girls started the work?
(a) 18 days
(b) 28 days
(c) 22 days
(d) 30 days​

Answer 1

Answer: x=28 hope it helps you to mark me as brainlest

Step-by-step explanation:

Answer 2

The girls should leave after 28 days. (Option b)

Given:

Number of girls=30

To find:

The number of days after which 10 girls should leave

Solution:

Let the number of days after which the girls leave be X.

The number of days for which 30 girls will work=40-X

The work that is done=30×(40-X)

Now, 10 girls should leave.

The remaining girls=30-10=20

The work that is done=20×(46-X)

On equating the work done, we get

30×(40-X)=20×(46-X)

3(40-X)=2(46-X)

120-3X=92-2X

120-92=3X-2X

28=X

Therefore, the girls should leave after 28 days.

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