Explanation:
Discharge = Area x Velocity
Discharge of river = Discharge of stream 1 + Discharge of stream 2
[tex]A_rv_r=A_1v_1+A_2v_2[/tex]
Area of stream 1 = wā x dā = 8.9 x 3.8 = 33.82 mĀ²
Area of stream 2 = wā x dā = 6.5 x 3.9 = 25.35 mĀ²
Velocity of stream 1 = 2.3 m/s
Velocity of stream 2 = 2.6 m/s
Velocity of river = 3 m/s
[tex]\texttt{Area of river = }w_r\times d_r=10.7\times d_r[/tex]
Substituting
Ā Ā Ā Ā Ā Ā Ā [tex]A_rv_r=A_1v_1+A_2v_2\\\\10.7\times d_r\times 3=33.82\times 2.3+25.35\times 2.6\\\\d_r=4.48m[/tex]
Depth of river = 4.48 m
