Question

For asfalting of a road 10 workers require 4 days. So to complete the same work how many days will be required for 8 workers?​

Answer 1

Answer:

5 days.

Explanation:

Given,

For asfalting a road 10 workers require 4 days.

Find how many days will it take to complete the same task by 8 workers.

Let's say it will take $\boldsymbol x$ days.

So,

10 workers for 4 days and 8 workers for $x$ days.

Here,

The lesser the worker the more time it will consume to complete the task.

Hence, it's an inversely proportional.

$\therefore {\rm Equation }:-10 \times 4 = 8 \times x$

Solving for $\boldsymbol x$

$\implies \:10 \times 4 = 8 \times x$

$\implies 40 = 8 x$

$\implies \dfrac{40}{8} = x$

$\implies 5 = x$

$\therefore\boldsymbol x = \rm 5\: days$

Henceforth it will 5 days to complete the same task by 8 workers.

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Answer 2

★ Given Information :-

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• It takes 10 workers to complete a piece of work in 4 days

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★ To Find :-

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• Number of days required to complete the same work by 8 workers

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★ Concept :-

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In this question, we have to use the concept of proportionality. Here, we see that the number of workers has decreased and the amount of work is same, therefore the time taken will be more, thus, this is the case of inverse proportionality.

Now, we will solve it.

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★ Solution :-

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Let the number of days be x, therefore, Forming the equation, we have :-

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$\sf : \longrightarrow 10 \times 4 = 8 \times x \\ \\ \\ \sf : \longrightarrow 40 = 8x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf : \longrightarrow x = \cancel\dfrac{40}{8} = 5 \: \: \: \: \: \:$

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Therefore, the number of days taken by 8 workers to complete the same is 5.

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$\rule{200pt}{}$

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