How Does Pipe Area Change Affect Fluid Velocity and Pressure?

[Brabs23]

A circular pipe has a fall of 4m and narrows so that, at exit, its area is one quarter that at inlet. The pressure at inlet is 20kN/m^2 above atmospheric and at exit, where the velocity is 15m/s, the pressure is atmospheric.

Calculate the inlet velocity and mass flow rate of water through the pipe per unit cross-sectional area at inlet.

Relevant Equations: Bernoullis

I've got this so far (if it is correct!):

4 + (20 x 10³)/10³ x g + V²/2g = 15²/2g + h

I'm not sure how to use the area values given to find out the velocity .. I presume I need to use Q = AV?

 

[Kabbotta]

Continuity equation:
$$A_{1}v_{1} = A_{2}v_{2}$$

And Bernoulli is all you need.