Question

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If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.

Answer 1

q = 22

Explanation:

Given that,

p and q are inversely proportional to each other i.e.

`p=(k)/(q)`

Put p = 11 and q = 18

So,

`11=(k)/(18)\\\\k=11* 18\\\\k=198`

Now put k = 198, p = 9 and find q. So,

`q=(k)/(p)\\\\q=(198)/(9)\\\\q=22`

Hence, the value of q is equal to 22.