Translation of "Sped" in Japanese

We sped into the narrow track, hardly dropping any speed. "It's a short cut!" "Oi! It's a footpath!!"

ほっそい道にほとんどスピードを落とさず、走りこんだ。「近道なんですよ」「ってここ、あぜ道～～～っ！」

Since it was an extremely urgent situation, my father sped up the car as soon as the traffic light changed.

極めて緊急事態だったから、信号の色が変わるが早いか、父は車を発進させた。

While one of them sped around major parts of the property on the mower, a second made a few sweeps at some tall weeds on the edge of my wife's garden, and the third got into the truck and smoked a cigarette.

３人のうちの１人が芝刈り機で私の庭を大雑把にさっと刈り、もう一人が妻の庭の端の伸びた雑草をさっと２、３回刈り、残りの一人はトラックに上がってタバコをすっていた。