Question

At a depth of x metres the temperature of the water in an ocean is t degrees. at depths below 900metres, t is inversely proportional to x
t is given by t=4500/x
work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 3750 metres

Answer 1

Given :

At a depth of x meters the temperature of the water in an ocean is :

= t degrees

At depths below 900 meters , t is inversely proportional to x and it is given as :

t = $\frac{45000}{x} degrees$

To Find :

Difference in temperature of the water at a depth of 1200 meters and at a depth of 3750 meters = ?

Solution :

∴The temperature of water at depths below 900 meters is given as :

t = $\frac{4500}{x} degrees$

⇒Temperature at a depth of 1200 meters:

= $\frac{4500}{1200}$ degrees

And temperature of water at a depth of 3750 meters :

=$\frac{4500}{3750}$ degrees

Now the difference is :

$=\frac{4500}{1200} -\frac{4500}{3750}\\= 3.75 - 1.2\\=2.55 degrees$

So the difference of temperature at depths of 1200 and 3750 is 2.55 degrees.