Question

if 20 workers consume a certain quantity of flour in 14 days in how many days will 8 workers consume same quantity of flour​

Answer 1

Answer:

35 days.

Explanation:

Given,

20 workers consumes a certain quantity of flour in 14 days.

How many days will 8 workers consume same quantity of flour?

Let's say they'll consume it is $x$ days.

Here,

The lesser the workers the more days it'll last.

Hence, it's an inversely proportional.

∴ 20 workers 14 days 8 workers $\boldsymbol x$ days.

$\implies \: 20 \times 14 = 8 \times x$

$\implies \: \dfrac{20 \times 14}{8} = x$

$\implies \: 35 = x$

∴ It'll take 35 days to consume the same quantity of flour for 8 workers.

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Inverse proportion:

• If we say, in an observation a quantity x is increasing and quantity y is decreasing then it's an inverse proportion. And we write it as y = k/x. where, k is constant of proportionality.
• For example, if 2 people have food for 4 days, then more the people the lesser days it'll last because consumption will be more. And the lesser the people the more days it'll last. And hence it'll be an inverse proportion.

Answer 2

Answer:

Given :-

• If 20 workers consume a certain quantity of flour in 14 days.

To Find :-

• How many days will 8 workers consume same quantity of flour.

Solution :-

Let,

$\mapsto \bf Required\: Days =\: x\: days$

According to the question :

$\bigstar$ 20 workers consume a certain quantity of flour in 14 days.

So, 8 workers consume same quantity of flour :

$\implies \bf 20 \times 14 =\: 8 \times x$

$\implies \sf \dfrac{20 \times 14}{8} =\: x$

$\implies \sf \dfrac{\cancel{280}}{\cancel{8}} =\: x$

$\implies \sf \dfrac{35}{1} =\: x$

$\implies \sf 35 =\: x$

$\implies \sf\bold{x =\: 35}$

$\dag$ Required Days :

$\dashrightarrow \sf Required\: Days =\: x\: days$

$\dashrightarrow \sf\boxed{\bold{Required\: Days =\: 35\: days}}$

$\therefore$ 35 days will required for 8 workers to consume same quantity of flour.

VERIFICATION :-

$\leadsto \bf 20 \times 14 =\: 8 \times x$

By putting x = 35 we get,

$\leadsto \sf 20 \times 14 =\: 8 \times 35$

$\leadsto \bf 280 =\: 280$

$\leadsto \sf\bold{\underline{L.H.S =\: R.H.S}}$

HENCE, VERIFIED !!