Question

6 women and 6 men together can complete a piece of work in 6 days.in how many days can 15 men alone complete piece of work if 9 women alone can completework in 10 days

Answer 1

$\textbf {Hey there, here is the solution.}$

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6 women + 6 men = 6 days (Given)

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Find the amount of work 6 women can do i n a day:

9 women = 10 days (Given)

1 women = 10 x 9 = 90 days

6 women = 90 ÷ 6 = 15 days

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Find the amount of days the 6 men need:

⇒ 1 day = 1/6 of the work

6 women = 15 days (found earlier)

⇒ 1 day = 1/15 of the work

6 men ⇒ 1 day = 1/6 - 1/15 = 1/10 of the work

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Find the number of days the 6 men needed:

1/10 of the work = 1 day

10/10 of the work = 1 x 10 = 10 days

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Find the number of days 15 men needed:

6 men = 10 days

1 man = 10 x 6 = 60 days

15 men = 60 ÷ 15 = 4 days

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Answer: 15 men can finish the work in 4 days.

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⭐$\textbf {Cheers}$⭐