C182RG FLT CREW HAS AN UNSTABILIZED APCH TO JVL.

Narrative

I WAS FLYING FROM THE L SEAT AS PIC. AFTER RECEIVING THE CURRENT ATIS; WE RPTED OUR POS; 10 MI SE AT 3000 FT MSL TO THE JANESVILLE TWR; REQUESTING LNDG INSTRUCTIONS. AT ALMOST THE SAME TIME; ANOTHER ACFT; A C140; RPTED IN AT ALMOST THE SAME POS. THE TWR ASKED US IF WE COULD SEE THE OTHER ACFT. WE SAID WE COULD. THE TWR ASKED US FOR OUR TYPE ACFT AND ASKED THE OTHER ACFT THE SAME. THE TWR TOLD US TO THEN FOLLOW THE OTHER ACFT FOR LNDG. I GOT IN TRAIL BEHIND THE C140 AND DID SOME S-TURNS TO SLOW OUR APCH. I BELIEVE I BECAME DISTR BY TRYING TO REMAIN; IN A MUCH FASTER ACFT; AT A SAFE DISTANCE BEHIND THE LEADING AIRPLANE. IN SO DOING; I CAME IN TOO FAST; BOUNCED THE PLANE A COUPLE OF TIMES AND ASKED MY R SEAT ACCOMPANYING PLT (AN ATP AND FORMER CFI) TO TAKE OVER. HE ACCOMPLISHED THIS VERY QUICKLY AND BROUGHT US TO A HALT. AT THIS POINT THE OTHER ACFT WAS JUST CLRING THE RWY AHEAD OF US. I BELIEVE THE PROB DEVELOPED INITIALLY BY THE COINCIDENCE OF THE ARR OF 2 ACFT IN ALMOST IDENTICAL POS. CONTRIBUTING FACTORS WERE THE DIVERGENT SPDS OF THE 2 ACFT. CORRECTIVE ACTIONS SHOULD HAVE BEEN TO EITHER DISCUSS THE SPD ISSUE WITH THE TWR AND ASK TO BE THE FIRST TO LAND OR TO REQUEST A 360 DEG TURN TO RE-ENTER THE APCH. FAILING EITHER OF THOSE; I SHOULD HAVE PERFORMED A GAR OFF OF THE APCH. SUPPLEMENTAL INFO FROM ACN 716371: ABOUT 2 MI OUT; THE PIC STATED TO ME THAT WE SHOULD GO AROUND. I KNEW THAT WE COULD SLOW FURTHER AND MAKE S-TURNS TO STAY IN TRAIL WITH ADEQUATE SPACING. I RECOMMEND THAT WE CONTINUE THE APCH. THE APCH DETERIORATED WITH THE PIC FLYING AN UNCOMFORTABLE APCH WHICH HE DIDN'T WANT TO BE DOING. THE TOUCHDOWN WAS FAST WITH THE OTHER PLANE STILL ON THE RWY. THE PIC THEN LOST CTL AND THE ACFT STARTED TO BOUNCE. HE THEN PASSED CTL TO ME AND I MANAGED TO GET THE ACFT UNDER CTL AND ALMOST CAUGHT UP TO THE OTHER ACFT AS HE TURNED OFF THE RWY. WHAT I HAD DONE IN PUSHING THE PIC TO CONTINUE COULD HAVE TURNED INTO A RWY COLLISION. LESSON LEARNED: IF YOU ARE NOT PIC; RESTRICT YOUR SUGGESTIONS TO SAFETY ITEMS.