Question

if u and w are inversely proportional and u = 11 when w = 5 find you when w= 110​

Answer 1

242 is the answer to this question

Answer 2

Question:

If u and w are inversely proportional and u = 11 when w = 5 find u when w = 110.

Given,

u is inversely proportional to w,

u = 11 when w = 5.

To find,

u, when w = 110.

Solution,

Two quantities are said to be inversely proportional when one of the quantities decreases with an increase in the other, and vice-versa.

For example, if x and y are inversely proportional, then mathematically it is represented as,

$x\propto\frac{1}{y}$

Here, u and w are given to be inversely proportional, so,

$u\propto\frac{1}{w}$

Removing the proportionality sign, we use a constant of proportionality (let this be 'k'), then,

$u=k\frac{1}{w}$

Or,

$u=\frac{k}{w}$     ...(1)

Now, according to the given condition,

u = 11 when w = 5, so, putting it in (1),

$11=\frac{k}{5}$

Rearranging,

$k=11\times 5$

⇒ k = 55.

Substituting this value of k in (1), we get the relation

$u=\frac{55}{w}$     ...(2)

We have to find u when w = 110. So, from the above equation (2),

$u=\frac{55}{110}$

⇒ $u=\frac{1}{2}$

Or, u = 0.5

Therefore, for the given relation, when w = 110, the value of $u=\frac{1}{2},$ or u = 0.5.