FO OF A LEARJET; LR35 UNDERSHOT A XING ALT FIX DURING DSCNT DUE TO STARTING DSCNT TOO LATE AND TAILWINDS.

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MY COPLT AND I WERE FLYING A 3-LEG TRIP FROM CMH-RIC-PHL- CMH. HE HAD RECENTLY UPGRADED TO FO IN THE LEAR AND WE HAD NOT FLOWN TOGETHER RECENTLY. I FLEW THE FIRST LEG FROM CMH TO RIC AND EVERYTHING WAS FINE. HE PERFORMED WELL. I GAVE HIM THE CTLS FOR THE SECOND LEG; RIC TO PHL; AND THINGS WERE GOING FINE ON THAT LEG AS WELL. CTR GAVE US A XING RESTR TO BE AT 11000 FT 15 DME FROM DQO VOR; WHICH WE BOTH NOTED. OUR OP TYPICALLY USES A 2 TO 1 DSCNT RATIO; WHICH IS WHAT WE DECIDED TO USE THIS NIGHT. OUR GND SPD WAS IN EXCESS OF 500 KTS; SO WE WOULD HAVE TO KEEP OUR AIRSPD UP FOR THIS TO WORK. AS WE WERE DSNDING; I COULD SEE WE WERE GETTING BEHIND ON THE DSCNT RATIO; SO I ENCOURAGED HIM TO 'NOSE OVER' TO PICK UP THE RATE OF DSCNT. EVEN AS WE GOT LOWER; OUR GND SPD REMAINED ABOVE 500 KTS. WE WERE DSNDING IN EXCESS OF 8000 FPM; BUT AS IT TURNED OUT; IT WASN'T FAST ENOUGH TO MAKE UP FOR OUR SLOW START AND STRONG TAILWINDS. WHAT I LEARNED IS I SHOULD HAVE EITHER TOLD THE CTLR WE WOULDN'T MAKE THE XING OR I SHOULD HAVE TAKEN THE CTLS AND HELPED OUT WHEN I SAW WE WERE GETTING BEHIND.