which sentence is better?

想，這兩句中第一句必定是更好，因為spend之後，不可用不定詞(infinitive)，所以，第二句文法錯誤，全句可改為：
She needs to spend a long time (on) traveling to England.
回到你的問題，take或spend都可以用在時間上，並沒有誰好誰不好分別。
希望幫到你！

Both are no good.

It takes her a long time to travel to England.

The first sentence is better.

Another advice: She needs to take a long time for travelling to England.

yes, you can use both "spend" or "take" when the sentence involves time.