Question

a man can complete a work in 4 days. where as a woman can complete it in only 12 days if they work together in how many days can the work be completed?​

Answer 1

Answer:

3 days is the correct answer

Explanation:

A man complete a work =4 days

A woman complete a work=12 days

work together =4(12)3

= 12

= 00

Answer 2

Given:

• A man can complete a work in 4 days.
• A woman can complete a work in 12 days

To find:

• In how.many day will complete work if they work together?

Solution:

As given that man can complete total work in 4 days.

So,

• Man will complete 1/4 of total work in 1 day.

Woman can complete total work in 12 days.

• Women will complete 1/12 of total work in 1 day.

1 day's work of both man and women :-

1 day's work of man and women = 1 day's work of man + 1 day's work of women.

→ 1 day's work of man and women = $\dfrac{1}{4}+\dfrac{1}{12}$

→ 1 day's work of man and women = $\dfrac{3+1}{12}$

→ 1 day's work of man and women = 4/12 = 1/3

So,

we can say that both ( man and women) can complete 1/3 part of total work in 1 day.

Time they will take to complete whole work :

Time they will take to complete whole work = 1÷ 1 day's work of both.

→ Time they will take to complete whole work = 1÷1/3

→ Tike they will take to complete whole work = 1×3

→ Time they will take to complete whole work = 3

Therefore,

• $\large{\boxed{\bf{\blue{Man\:and\:women\:will\:take\:3\:days\:to\: complete\:whole\:work\: together}}}}$

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