Question

The annount of time (in minutes) that it takes to put out a fire varies inversely
with G, the volume of water used in hundreds of gallons). When G is 8, t is
12. Find how long it takes to put out a fire when 200 gallons of water ( G = 2)
are used A. 192 minutes B. 48 minutes C. 1.33 minutes D 3 minutes​

Answer 1

Given that the amount of time varies inversely with G.

It can be written as,

$T G=K$

where K is the constant.

We need to determine the time it takes to put out the fire when 200 gallons of water are used.

The value of constant:

When $G=8, T=12$ , we get;

$(12)(8)=K$

      $96=K$

Thus, the value of constant is  96.

Time taken:

Substituting $G=2$ and $K=96$ in the formula $T G=K$, we get;

$T(2)=96$

    $T=48$

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.

Hence, Option B is the correct answer.