Question

if 6 men or 8 women can finish the work in 12 days ,9 men and 12 women will finish the work in nearby​

Answer 1

Answer:

★ǫᴜᴇsᴛɪᴏɴ★

If 6 men or 8 women can finish the work in 12 days, In how many days 9 men and 12 women will finish the work.

★ANSWER★

Given :-

• 6 men or 8 women can finish the work in 12 days

To find :-

• Number of days 9 men and 12 women will finish the work.

Concept used :-

When two variables change in inverse proportion it is called as indirect variation. In indirect variation one variable is constant times inverse of other. If one variable increases other will decrease, if one decrease other will also increase. This means that the variables change in a same ratio but inversely.

Solution :-

According to statement

6 men = 8 women

⟹ 1men = 4/3 women

Now , 9 men + 12 women = 9 × 4/3 women + 12 women

= 12 women + 12 women

= 24 women

★ Let number of days taken by 24 women be 'x' days.

Number of women 8 24

Number of days 12 x

★ Now, more womens, less days

so its indirect variation.

⟹ 8 × 12 = 24 × x

⟹ 96 = 24x

⟹ x = 4 days

$\bf \implies \:number \: of \: days \: required \: is \: 4.$

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