Question

Please solve this answer with wording​

Answer 1

Given :

• 5 persons completes a task in 4 days.

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To find :

• We need to find how many days would it take if number of workers is 4.

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Assumption :

• Let the number of days be x when number of workers are 4.

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Solution :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀I case⠀⠀⠀⠀⠀ll case

Number of workers⠀⠀⠀⠀⠀ 5⠀⠀⠀⠀⠀⠀⠀4

Number of days⠀⠀⠀⠀⠀⠀⠀ 4⠀⠀⠀⠀⠀⠀⠀ x

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Observing the given values we can say, as we increase the number of workers, time taken to complete the task would decrease.

$\bf\:\therefore$ $\bf\:They~are~in~inverse~proportion.$

So, according to the inverse proportionality :

$\tt\to\:5 \times 4 = 4 \times x$

$\tt\to\:20 = 4x$

$\tt\:or\:4x=20$

$\tt\to\:x=\cancel{\frac{20}{4}}$

$\tt\to\:$$\small\red{\tt\pmb{x~=~5}}$

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$\bf\:Thus,$

$\bf\:⠀⠀⠀The~required~number~of~days~is~5.$

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