Question

Six men can complete a work in 12 days. Two days later, 6 more men joined them.
How many days will they take to complete the remaining work?
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Answer 1

Answer:

7 days

Step-by-step explanation:

6 men can complete a job in = 12 days.

If 6 men can complete a job in 12 days, thus the input =

6 × 12  = 72 man-days

In two days the work completed is 6 × 2  = 12 man-days of work.

Remaining work to be done   = 72 - 12  = 60 man-days of work.

Thus if 6 more men are added, then the work force becomes 12 men strong.

Hence, the remaining work can be completed in -  

60/ 12 = 5

= 5 man days

Thus, the total work will be completed in  2 + 5 or 7 days from the start or 5 days after the additional 6 men have joined.

Answer 2

Answer:

This is the simple way of solving the question and the remaining work will be completed by total workers is 5 days after 6 more men joined.

Step-by-step explanation:

Given:

6 men can completing a work in 12 days.

That means:

1 men will do a 1 work in a day.

So total works = $6\times 12$ = $72$ works.

Work will be done by 6 men in 2 days is:

$2\times 6 = 12$

Hence work left

$72-12 = 60$

After two days 6 men join for the same work

So total men will be $6+6 =12$

Therefore remaining work will be done by 12 workers will be:

$= \dfrac{60}{12} \\=5$