Pump alarm and shut off system

Presently I have an effluent pump in a remote septic tank that activates from the pump float switch. A current sensor in the house will energize a piezo buzzer indicating that the pump is running and does shut off. A normal pumpout would be around the 10 minutes.
I would like to have a system that allows the pump to shut down after about 20 minutes if the float isn't working properly or the pump isn't working properly thus saving the pump from running until it burns out ( that happened to me once) . I would then like a warning alert that the pump has failed and continue to alarm until power is shut off to the pump and float. It isn't feasible ( without much cost) to run a wire to the septic tank and float switch which would make it a more simple solution. I have attached a diagram of the present setup.
Hopefully some of you will have some ideas. Thanks.

 

Thanks for you quick response. I'm not an electronics person so not sure how a ON-Delay timer works. So the power source would be connected to the timer so would that timer have to be in a normally closed position? If the float switch hasn't disconnected after 20 minutes then the timer relay would cut the power to the pump? Would then not the timer reset to normally closed and continue with the same sequence. Excuse my ignorance.

 

The float switch detects high level and cuts in pump until the float reaches the low position and cuts out pump like a normal sump pump set up.

 

Thanks for the info and now I need to study your information on the different timers. I understand what you mean now and just a matter of getting my head completely around it and ordering the proper timer and relay. Thanks again and much appreciative of your answer.

 

Thanks a lot!

 

Thanks for your suggestion. I need an effluent pump however and even this type of pump would not allow me to know if it was working or not from a remote location. I think the modification would be terribly hard to do with an effluent pump. I do appreciate your help.