Question

if 8 men or 12 women can do a piece of work in 25 days in how many days can the work be done by 6 men and 11 women working together​

Answer 1

Answer:

21.25 days.

Step-by-step explanation:

$8 \: men \: + 12 \: women \\ = 20 \: people \\ 6 \: men \: + \: 11 \: women \\ = 17 \: people\\ \\ 20 \: people \: can \: do \: a \: piece \: of \: work \: in \: 25 \: days \\ 1 \: man \: can \: do \: a \: piece \: of \: work \: in \: \frac{25}{20} \: days \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ = \frac{5}{4} days\\ 17 \: people \: can \: do \:a \: piece \: of \: work \: in \: \frac{5 \times 17}{4} days \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{85}{4} \: days \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 21.25 \: days$

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Answer 2

Answer:

15days

Step-by-step explanation:

8 men = 12 women(or means =)

1 men = 12/8=3/2 women

so, 6men+11women(and means +)

=6*3/2women +11 women

=20 women

therefore 12women*25days*1=20women*xdays*1

(since days are not mentioned work done can be taken as 1)

xdays = 20/12*25

=1/15days(simply inverse)

so 6men and 11women takes 15days  to complete the work