Question

4 men or 6 women can do a work in 42 days. The number of days 12 men and 3 women would take
d. 10 days
to finish the work is
a. 20 days
b. 15 days
c. 12 days​

Answer 1

ok your question is pitty hard but i think it is A option

Answer 2

$\large{\underbrace{\sf{\orange{required \: solution:}}}}$

given that,

• 4 men or 6 women can do a work in 42 days.

☯️we need to find the number of days 12 men and 3 women would take to finish the work.

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according to the question,

Let us assume the number of days 12 men and 3 women would take to finish the work as x

4 men , 6 women = 42 days

4 × 6 people = 42 days

24 people = 42 days

then ,

12 men , 3 women = x days

12 × 3 = x days

36 people = x days

$\sf \red {24 : 42 : : 36: x}$

$\boxed{ \sf product \: of \: means \: = product \: of \: extremes}$

24 × x = 42 × 36

24x = 42 × 36

x = 42 × 36 / 24

x = 42 × 3 / 2

x = 21 × 3

x = 63

hence , 63 number of days 12 men and 3 women would take to finish the work.

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