Question

Step by step explanations ​

Answer 1

Understanding concept:-

Concept of indirect variation:-

The quantities are said to be in inverse proportion if:

An increase in the quantity A leads to a decrease in quantity B and vice versa.

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☆ Solution:-

☆ Let number of days it will be finished by 35 men be 'x' days and let number of men that will finished it in 10 days be 'y'.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf number \: of \: days \: & \bf number \:of \: men \\ \frac{\qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad}{} \\ \sf 14 & \sf 15 \\ \\ \sf x & \sf 35 \\ \\ \sf 10 & \sf y \end{array}} \\ \end{gathered}$

$\tt \:  as \: number \: of \: men \: increase \: number \: of \: days \: decreases.$

$\tt\implies \:its \: an \: indirect \: variation$

$\tt \:  ⟼ \therefore \: 14 \times 15 = 35x = 10y$

$\tt\implies \:15 \times 14 = 35x \: and \: 15 \times 14 = 10y$

$\tt\implies \:x \: = 6 \: and \: y \: = \: 21$