AN ACR EMB145 ON A TRAINING FLT LOSES THE HYD FLUID FOR THE #1 SYS. THE LNDG GEAR WAS EXTENDED MANUALLY AND THE ACFT RETURNED TO ITS BASE ARPT FOR LNDG WITHOUT DECLARING AN EMER. AFTER LNDG; THE ACFT REMAINED PARTIALLY EXTENDED OVER THE RWY AS A DC9 LANDED BEHIND THEM.

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DURING CRUISE WE RECEIVED A HYD SYS #1 LOW QUANTITY MESSAGE ON THE EICAS. WE TURNED AROUND AND HEADED BACK TO OUR DEP ARPT. WE RAN THE APPROPRIATE CHKLISTS AND EXTENDED THE GEAR MANUALLY. APCH AND LNDG WERE COMPLETED UNEVENTFULLY. ON THE LNDG ROLLOUT; TWR ADVISED US TO EXPEDITE TO THE HIGH SPD TXWY DUE TO A DC9 ON SHORT FINAL BEHIND US. DUE TO THE HYD SYS MALFUNCTION; WE WERE UNABLE TO STEER THE ACFT WITH THE TILLER; AND HAD TO RELY ON DIFFERENTIAL BRAKING. TRANSITIONING TO THE HIGH SPD TXWY THE EMER BRAKE WAS APPLIED TO BRING THE ACFT TO A STOP; DUE TO A PARTIAL LOSS OF THE BRAKE SYS. THE ACFT STOPPED PARTIALLY ON THE TXWY; AND PARTIALLY ON THE RWY (L WINGTIP AND TAIL). WE IMMEDIATELY ADVISED THE TWR THAT WE WERE NOT CLR OF THE RWY. THE DC9 WAS NEVER ADVISED TO GAR. (PERHAPS OUR XMISSIONS BLOCKED EACH OTHER OUT.) THE ACFT WAS ABLE TO LAND AND SLOW TO TAXI SPD BEFORE PASSING US ON THE RWY AND EXITING AT THE NEXT TXWY. WE ADVISED TWR THAT WE WOULD NEED TO BE TOWED IN. IN THE FUTURE I WILL STRIVE TO MAKE IT CLR TO ATC THAT WITH A PARTIAL HYD LOSS; WE WILL NOT BE AS MANEUVERABLE ON THE GND AND WILL NEED TO TAKE OUR TIME EXITING THE RWY. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THIS RPTR SAID THAT HE WAS ON AN INSTRUCTIONAL RIDE AS A NEW CAPT ON THE EMB145 WHEN THE #1 HYD SYS STARTED TO LOSE ITS FLUID. THE INSTRUCTOR; IN THE R SEAT; DECIDED TO RETURN TO IAH. BOTH THE INSTRUCTOR AND THE OTHER CAPT TRAINEE DID NOT WANT TO DECLARE AN EMER. THEIR THINKING; ACCORDING TO THE RPTR; WAS THAT THIS WAS NOT A BIG DEAL. THE RPTR SAID THAT HE DISAGREED WITH THIS AND THE LATER PROBS MAY NOT HAVE HAPPENED IF HIS VIEW HAD PREVAILED. AFTER LNDG; THE ACFT SLOWED FAIRLY NORMALLY; BUT THE FLC USED ALL OF THE BRAKE ACCUMULATOR CAPABILITY TO SLOW AND STEER THE ACFT; USING DIFFERENTIAL BRAKING FOR THE LATTER; ACCORDING TO THE RPTR. THE TWR CTLR WANTED THEM TO CLR THE RWY QUICKLY TO ALLOW A DC9 TO LAND; BUT THEY COULD NOT BECAUSE THE ACFT HAD COME TO A STOP USING THE PARKING BRAKE; BUT WAS STILL PARTIALLY ON THE RWY. THE RPTR HAD NO ESTIMATE OF HOW CLOSE THE DC9 CAME TO THEIR EMB145 AS IT PASSED. WHEN THEY WERE FINALLY TOWED TO THE GATE THE MAINT PERSONNEL MENTIONED SEVERAL POSSIBILITIES AS THE CAUSE OF THE FLUID LOSS; BUT THE RPTR SAID THAT HE DOES NOT KNOW THE ACTUAL CAUSE. SOME OF THE MANUFACTURER'S REPRESENTATIVES WERE THERE TO ASSIST WITH THE PROB.