Question

Nonsense answer = report​

Answer 1

★ Question -

• The time required to do a job varies inversely to the number of people working. It takes 5 hours for 7 carpenters to build a retaining wall. How long will it take for 10 carpenters to complete the job?

★ Answer -

• 10 carpenters will take 3.5 hours to build the retaining wall.

★ Step-by-step explanation -

• In this question, it is given that it takes 5 hours for 7 carpenters to build a retaining wall. We have to find the time that will be taken by 10 carpenters to complete the job.

Let -

• The time taken by 10 carpenters to complete the job be "x" hours.

Given that -

• The time required to do the job varies inversely to the number of people working.

We know that -

• When two quantities "x" and "y" are in inverse variation, xy is constant.

Therefore -

$\sf \implies xy \: is \: constant$

$\implies \sf 10 \times x = 7 \times 5$

$\sf \implies 10x = 35$

$\implies \sf x = \cancel\dfrac{35}{10}$

$\implies \sf x = \dfrac{7}{2}$

$\implies \sf x = 3.5$

Hence -

• 10 carpenters will take 3.5 hours to build the retaining wall.

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