Issue with Shipping Cost for Local Delivery

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I am trying to give my customers 2 options for delivery:

1. Local Delivery charge within a 35km radius of my address for a flat rate of €5

2. Delivery based on weight for outside the 35km i.e. 0 to 2kg for 8 Euro etc. 

I have set up a shipping zone for the weights based calculation and enabled local delivery for 35km radius for €5 to cover option 1 above. 

When someone living within the 35km radius tries to order something, it charges them the prices for option 2 above. 

Can anyone help?