Question

7. If 30 men can do a piece of work in 27 days. In how
many days can 18 men do another piece of work 3
times as great ?​

Answer 1

Answer:

16 days 2 hour

Step-by-step explanation:

30 men can do in = 27 days

1 men can do in = 27/30

Then, 18 men can do in = 27/30×18

=0.9×18

=16.2

Answer 2

Answer:

• 18 men can do another piece of work 3 times as great in 135 days.

Step-by-step explanation:

Given that:

• 30 men can do a piece of work in 27 days.

To Find:

• In how many days can 18 men do another piece of work 3 times as great?

Let us assume:

• 18 men can do the same work in x days.

Finding the time taken to complete the same work:

According to the question.

Men × Days = Men × Days

⟶ 30 × 27 = 18 × x

⟶ 810 = 18x

⟶ x = 810/18

⟶ x = 45

Therefore,

• 18 men can do the same work in 45 days.

But,

18 men do the another piece of work 3 times as great.

• It will take 3 times the number of days taken to complete a work.

• Time taken to complete a work = 45 days
• Time taken to complete three work = (45 × 3) = 135 days

Hence,

• 18 men can do another piece of work 3 times as great in 135 days.