Two streams merge to form a river. One stream has a width of 8.2 m, depth of 3.4 m, and current speed of 2.3 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.6 m/s. If the river has width 10.5 m and depth 4.5 m, what is its speed?

Explanation

To solve the problem of finding the speed of the river formed by the merging of two streams, we will use the principle of conservation of mass, specifically the equation of continuity for fluids. The equation states that the volume flow rates of the streams must equal the volume flow rate of the river.

### Step-by-step Solution:

1. **Identify the given data:**
- For Stream 1:
- Width (W1) = 8.2 m
- Depth (D1) = 3.4 m
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