Two streams merge to form a river One stream has a width of

Two streams merge to form a river. One stream has a width of 8.32 m, depth of 3.98 m, and current speed of 2.50 m/s. The other stream is 6.86 m wide and 3.97 m deep, and flows at 2.79 m/s. If the river has width 11.4 m and speed 2.95 m/s, what is its depth?

Solution

From Continuity equation

Q₁ =Q₂

A₁V₁+A₂V₂ =AV

(8.32*3.98*2.5)+(6.86*3.97*2.79) =(D*11.4*2.95)

D=4.72 m