Question

The amount of time t (in minutes) that it takes to put out a fire varies inversely with G, the volume of water used (in hundreds of gallons). When Gis 8, tis 12. Find how long it takes to put out a fire when 200 gallons of water (G=2) are used.​

Answer 1

We can begin by using the inverse variation formula, which states that:

t = k/G

where t is the time it takes to put out the fire, G is the volume of water used, and k is a constant of variation.

We can find the value of k by using the given information that when G is 8, t is 12:

12 = k/8

Multiplying both sides by 8, we get:

k = 96

Now that we know the value of k, we can use it to find how long it takes to put out a fire when 200 gallons of water are used (G = 2):

t = 96/G

t = 96/2

t = 48

Therefore, it would take 48 minutes to put out the fire using 200 gallons of water.