Question

16 men can finish a project in 45 days. Only 36 men started working and after 4 days 12 women replaced them. If these 12 women could finish the remaining woek in 54 days. How many days will only 12 women take to finish the complete project

Answer 1

Step-by-step explanation:

1 mens 1 day work = 16×45

36 men in 4 days work = (36×4)÷(16×45) = 1/5

remaining work of 12 w = 1-(1/5)=4/5

12 women in 54 days = 54×(5/4)=67.5 days

Answer 2

Concept:

Look up project in Wiktionary, the free dictionary. A project is any undertaking, carried out individually or collaboratively and possibly involving research or design, that is carefully planned to achieve a particular aim. A project is just a set of activities that must be finished in order to achieve a certain goal. A project may alternatively be described as a collection of inputs and outputs necessary to accomplish a certain objective. Projects can be handled by one person or one hundred, and they can be simple or complicated.

Given:

Here it is given that $16$ men can finish a project in $45$ days. Only $36$ men started working and after $4$ days $12$ women replaced them.

Find:

We have to find how many days will only $12$ women take to finish the complete project.

Solution:

According to the question, 1 men 1 day work $= 16*45$

$36$ men in $4$ days work $= (36*4)/(16*45) = 1/5$

remaining work of $12$ w $= 1-(1/5)=4/5$

$12$ women in $54$ days$= 54*(5/4)=67.5$days

Hence the final answer is $67.5$ days.