Question

7. GEOGRAPHY The discharge of a river
equals the product of its width, its
average depth, and its speed. At one
location in St. Louis, the Mississippi
River is 533 meters wide, its speed
is 0.6 meter per second, and its
discharge is 3198 cubic meters per
second. How deep is the Mississippi
River at this location?​

Answer 1

Answer:

10 m

Step-by-step explanation:

Given:

The discharge of water is equal to the product of of its width, its average depth and its speed.

Let $D$ be discharge of water, $w$ be its width, $h$ be its average depth and $v$ be its speed.

So, $D=vwh$

As per question,

$D=3198\textrm{ }m^{3},w=533\textrm{ m},v=0.6\textrm{ }m/s$

Plug in the above values and solve for $h$.

$3198=0.6\times 533\times h\\3198=319.8h\\h=\frac{3198}{319.8}=10\textrm{ m}$

Therefore, the average depth of the Mississippi river is 10 m.