Question

76 workers can build a huge office building in 42 days. in how many days will 56 workers do the same job​

Answer 1

Answer:

We are given that 76 persons can complete the job in 42 days.  

We need to find the number of days will 56 persons do the same job.

Let us assume that in x number of days will 56 persons do the same job.

Number of days taken by 1 person to complete same work = 76 × 42 =3192 days.

56 person will take =3192/56  = 57.

Therefore, 57 days will 56 persons do the same job.

PLZ MARK AS BRIANLIEST,FLW ME AND THX FOR THE SUPERB QUESTION

Answer 2

Given:

• 76 workers can build a huge office building in 42 days

To Find:

• in how many days will 56 workers do the same job.

Solution:

◕With the given clues we state that the quantities are in inverse proportion

$\longrightarrow \sf \: 72 :x = 56 : 42$

→when two quantities are in proportion their:

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{product \: of \: means \: = \: product \: of \: exteremes}}}}}$

➪ here,

• ${\rm{x\: and \:56}} = {\bf{\purple{means}}}$

• ${\rm{72\: and \:42}} = {\bf{\purple{extremes}}}$

let's start:

${ : \implies} \sf \: 72 :x = 56 : 42 \\ \\ \\ { : \implies} \sf 72 \times 42 = 56x \: \: \\ \\ \\ { : \implies} \sf 3912 = 56x \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf \: x = \cancel\frac{3916}{56} \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf \: \orange{x = 57 \bigstar} \: \: \: \: \: \: \: \: \: \:$

❶ hence, 56 workers can complete the work in 57 days respectively

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

More to know:

• A proportion on the other hand is an equation that says that two ratios are equivalent.

There are four types of proportion:

• Direct Proportion.

• Inverse Proportion.

• Compound Proportion.

• Continued Proportion.

_________________________________________________