What was found
ACFT PRIMARY AIRSPEED INDICATORS ON BOTH FIRST OFFICER & CAPTAIN SIDES UNRELIABLE. WHILE CLIMBING FROM FL360 TO 370, PRIMARY IND'S 265 KIAS WITH A HIGH SPEED WARNING. ACTUAL AIRSPEED WAS 230 KIAS VIA THE STBY IND. DECLARED EMER & DESCENDED. DURING DESCENT PRIMARY AIRSPEED SLOWLY DECREASED TO 90 KIAS WHILE ACTUAL WAS 230 KIAS. UNRELIABLE AIRSPEED CHECKLIST COMPLIED IAW AOM VOL 1, WHILE DESCENDING THRU FL1. INSPECTED PITOT LINES & FOUND WATER, DIRT & DEBRIS. DRAINED WATER & PERFORMED CLEANING OF THE PITOT LINES IAW AMM 34-13-00. PERFORMED ADJUSTMENT TEST OF ADC SYS OPERATIONS & LEAK CHECK GOOD IAW AMM 34-15-00. ALSO PERFORMED A FINAL PITOT STATIC SYS LEAKAGE TEST NO LEAKS FOUND & WORKING PROPERLY IAW AMM 34-13-00. ACFT REMAINS RVSM ELIGIBLE. .