DETROIT (AP) _ Frustration was something Doug Brocail always thought he could handle. Today, though, he's not so sure.

Jermaine Dye's two-run double off Brocail in the 11th inning helped Kansas City beat the Detroit Tigers 4-1 Monday night, snapping the Royals' nine-game road losing streak.

The loss dropped the Tigers to 9-22, the worst record by far in the major leagues.

``I'm telling you, bad luck can't go this far,'' Brocail said. ``I don't know who broke the mirror, but somebody's got to fix it.

``There's not a guy in this clubhouse that's not frustrated. It's just anguish.''

If they should lose again tonight, the Tigers would match the worst 32-game start in club history, last accomplished when the 1953 team also started 9-23.

``We're battling our behinds off out there, and it's just not happening,'' Brocail said. ``Everything we do, we come up on the short end of the stick.''

Not surprisingly, the reaction was just the opposite in the Kansas City dressing room. The Royals are 14-4 at home this season, best in the major leagues. But they have won just three of 12 road games.

``This game will give us a lot of confidence,'' said Dye, whose AL-best 14th double was his 28th extra-base hit. ``We just had a good homestand (8-3). This road trip is probably going to have to decide how we're going to do this season.''

Rey Sanchez singled off Brocail (1-2) to start the 11th and Johnny Damon sacrificed. With two outs, Mike Sweeney beat out an infield hit.

``I didn't mean to,'' said Sweeney, who hit a solo homer, his 11th of the season, in the sixth. ``I was trying to drive the ball. I was trying to drive Rey in. But, fortunately, Jermaine came through after my cheap hit.''

Dye's liner went over the head of leaping right fielder Luis Polonia, who took one step in, and the ball rolled to the wall as Sanchez and Sweeney scored.

``When I first hit it, it looked like it was going to be right to him,'' Dye said. ``As I was rounding first base, it looked like the ball took off.''

Danny Patterson relieved and was greeted by Mark Quinn's RBI single.

Tony Clark's fourth homer, in the fifth, accounted for Detroit's lone run.

``We didn't expect this,'' Brocail said. ``We need to stop this. It's just night after night after night.''

Damon's streak of 10 straight games with a leadoff hit in the first inning ended when he grounded out. He had the longest such string since 1975. The Elias Sports Bureau, which keeps major league statistics, was unable to research the obscure stat before then.

Detroit's Juan Encarnacion saw his 19-game hitting streak, tops in the majors, end as he went hitless in five at-bats.

Both starters pitched nine innings, giving up one run apiece _ on solo homers _ on a combined seven hits.

Jeff Suppan, who had lost three of his last four starts, allowed three hits, two by Clark. Suppan, who had four complete games last season, gave up three hits with three walks and two strikeouts in nine innings.

Jose Santiago (3-1) pitched two perfect innings for the Royals.

``This kind of ballpark, all you have to do is throw strikes,'' said Santiago, who started the 10th. ``There's not much chance of a home run here, so I don't mind taking a chance, throwing a strike.''

Jeff Weaver, who pitched a complete game in a losing effort against Chicago on April 28, went the first nine innings in search of his first win of the season for Detroit. He allowed one run on four hits with two walks and four strikeouts.

Suppan kept the Tigers hitless until Clark, who had 31 homers last season, gave Detroit a 1-0 lead.

Sweeney made it 1-1 by adjusting late to a slider from Weaver with one out in the sixth.

``Weaver, he looked awesome,'' Sweeney said. ``He was throwing all three of his pitches for strikes. We were fortunate to get the run we did. He was throwing that well.''

Notes: Damon also ended a streak during which he scored at least one run in 10 straight games. George Brett, who scored in 11 straight games in 1979, holds the club record. ... Both Clark and Sweeney homered to left. Of the first 17 homers hit in Comerica Park, the Tigers' spacious new stadium, only seven have been to left. ... Royals center fielder Carlos Beltran made a diving catch to rob Encarnacion in the eighth.