SLOW TURN AFTER TKOF PUT ACFT IN PROX OF APCHING ACFT.

Narrative

HOBBY TWR WAS TRYING TO ACCOMMODATE US ON A WESTERLY DEP BY ALLOWING US TO TKOF ON RWY 22 EVEN THOUGH RWY 04 WAS THE ACTIVE RWY. A NEW COPLT (3 MONTHS EXPERIENCE WITH THE AIRLINE) WAS FLYING. WE WERE CLRED FOR AN IMMEDIATE TKOF WITH A CLOSE IN TURN TO A HDG OF 330 DEGS. OUR MANUALS REQUIRE A CLB TO 500 FT AGL BEFORE COMMENCING ANY TURNS; WHICH HE DID. WE WERE HVY WHICH PROLONGED THIS STRAIGHT AWAY. THE PF THEN COMMENCED A 15 DEG ANGLE OF BANK TURN TOWARD THE NW; WHICH OUR MANUALS RECOMMEND AT LOW ALT FOR PAX COMFORT. THE TWR REQUESTED A TIGHTER TURN AND THE COPLT INCREASED THE ANGLE OF BANK TO 20 DEGS. THIS STILL DID NOT SATISFY THE TWR'S NEEDS AND WE FINALLY SAW WHY AS ANOTHER ACFT WAS ABOUT 3 MI IN FRONT OF US AND PASSING DOWN OUR L SIDE MANEUVERING FOR A LNDG ON RWY 04. ALTHOUGH THIS DIDN'T CAUSE ANY TCASII ALERT OR CONCERN IN COCKPIT; IT DID CAUSE THE TWR SOME ANXIETY AND THEY LET US KNOW ABOUT IT. WE BOTH LEARNED FROM THIS EXPERIENCE. I DIDN'T TAKE THE AIRPLANE AND TIGHTEN THE TURN AS I UNDERSTOOD THE TWR'S DEP INSTRUCTIONS TO MEAN. AND THE COPLT NOW KNOWS; THAT WE CAN USE UP TO 30 DEG ANGLE OF BANK TO MANEUVER AFTER TKOF OR FOR LNDG.