Question

If $x$ varies inversely as $y$, and $x=60$ when $y$ is $10$ then $y=2$ when $x$ is?

Answer 1

Find the value of $x$

If $x$ varies inversely as $y$ then,

$x\times y=k$ (where $k$= some constant)

When $x=60$ and $y=10$ then,

$\Rightarrow k=60\times 10=600$

Now substitute $y=2$ and $k=600$ in $x\times y=k$

$$\begin{gathered} \Rightarrow x\times 2=600 \\ \Rightarrow x=\frac{600}{2} \\ =300 \end{gathered}$$

Hence, $x$ is equal to $300$.