Question

32 men can complete a project in 70 days and 40 women can complete the same project in 72 days. 20 men started working and after one fourth of the work was completed, they were replaced by 48 women. In how many days was the whole project completed?

Answer 1

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Answer 2

Answer:

73 days

Step-by-step explanation:

32 men can complete a project in 70 days

1 men can complete whole work in days = $70 \times 32$

20 man can complete whole work in days = $\frac{70 \times 32}{20}$

20 man can complete  $\frac{1}{4}$ part of work in days =$\frac{70 \times 32}{20}\times \frac{1}{4}=28 days$

Remaining work = $1-\frac{1}{4}=\frac{3}{4}$

20 men started working and after one fourth of the work was completed, they were replaced by 48 women.

40 women can complete the same project in 72 days.

1 women can complete the same project in days. = $40 \times 72$

48 women can complete the same project in days. = $\frac{40 \times 72}{48}$

48 women can complete  $\frac{3}{4}$ part of work in days. =  $\frac{40 \times 72}{48} \times \frac{3}{4}=45$

So, remaining work will be completed in 45 days

And total work completed in days = 28+45 = 73 days

Hence  the whole project was completed in 73 days.