I hurried through my explanation at the end of the class.
We don't have much time left, so I'll just explain this quickly.
「駆け足で話す」は英語で次のように言えます。
ーto speak in a hurry
ーto talk about something quickly
例:
I hurried through my explanation at the end of the class.
「授業の最後、説明が駆け足になりました」
to hurry through one's explanation で「説明が駆け足になる」
We don't have much time left, so I'll just explain this quickly.
「あまり時間が残っていないので、駆け足で説明します」
to explain quickly で「駆け足で説明する」
ご参考まで!