A PA28 HAD AN NMAC WITH A C172 AT C77.

Narrative

THE FLT WAS FOR PLT PROFICIENCY. THE PIC; A PVT PLT; WAS IN THE L SEAT. I; A FLT INSTRUCTOR; WAS IN THE R SEAT. WE DEPARTED DKB (DEKALB; IL); DID AIRWORK; THEN PROPERLY ENTERED THE TFC PATTERN AT C77; POPLAR GROVE; IL. THE TASK WAS PRACTICE OF VARIOUS TYPES OF TKOFS AND LNDGS TO FULFILL THE REQUIREMENT OF THE FAA WINGS PROGRAM. THE WX WAS EXCELLENT; CLOUD BASES ABOUT 2500 FT AGL; VISIBILITY AT LEAST 10 MI. THERE WERE NO ACFT IN THE PATTERN. THE PIC MADE APPROPRIATE RADIO CALLS ON CTAF; 122.8 MHZ. WE HAD MADE SEVERAL LNDGS TO A FULL STOP. I COMMENTED THERE WAS NO TFC ON SUCH A PRETTY MORNING. DOWNWIND ON THE NEXT LNDG I INSTRUCTED THE PIC TO MAKE A SHORT FIELD LNDG. AGAIN; APPROPRIATE RADIO CALLS WERE MADE. NO TFC IN SIGHT. WE TURNED FINAL. THE PIC WAS AIMING AT THE END OF THE RWY. WE WERE ABOUT 1000 FT OFF THE END OF THE RWY; FOR LNDG; AND ANOTHER ACFT FLEW OVER THE TOP OF US; MISSING US BY ABOUT 20 FT. HIS SPD WAS PERHAPS 10 MPH HIGHER THAN OURS. ABOUT 35 SECONDS LATER; WHEN IT WAS APPARENT WE HAD SPACE; THE PIC ADDED FULL PWR; PULLED UP AND TURNED R. COLLISION AVOIDED; I INSTRUCTED THE PIC TO CLB OUT OF THE PATTERN AND DEPART C77 FOR A DIFFERENT ARPT. WE DISCUSSED GOING BACK TO CONFRONT THE OTHER PLT BUT DECIDED AGAINST THAT. THE OTHER PLT MADE NO RADIO CALLS ON CTAF.