Question

find the value of the unknown..
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Answer 1

Given

$\begin{array}{| c | c | c | c | c | c |}\cline{1-6} \bf Time \: (sec) & 1 & 4 & 15 & 30 & x \\ \cline{1-6} \bf Speed & 150 & 37.5 & 10 & y & 3\\ \cline{1-6} \end{array}$

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To Find

• The unknown values.

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Solution

Time and speed are known to be inversely proportional. This is because as the speed increase the time taken decrease and we know that in inverse proportion one value increases whereas the order decrease.

So let's find x and y.

Value of x

⇒ $x_{1}\times y_{1} = x_{6}\times y_{6}$

⇒ $1\times 150 = x \times 3$

⇒ $150 = 3x$

⇒ $x = \dfrac{150}{3}$

⇒ $x = 50$

Value of y

⇒ $x_{1}\times y_{1} = x_{5}\times y_{5}$

⇒ $1\times 150 = 30\times y$

⇒ $150 = 30y$

⇒ $y = \dfrac{150}{30}$

⇒ $y = 5$

∴ The value of 'x' is 50 and the value of 'y' is 5

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Answer 2

To Find :-

The unknown values.

Solution :-

Let's find x first

$\sf \: x_1 \times y_1 = x_6 \times y_6$

$\sf \: 1 \times 150 = x \times 3$

$\sf \: 150 = 3x$

$\sf \: x \: = 50$

Let find y

$\sf \: x_1 \times y_1 = x_5 \times y_5$

$\sf \: 1 \times 150 = 30 \times y$

$\sf \: 150 = 30y$

$\sf \: y \: = 5 \: ms {}^{ - 1}$