The book you lent me is well worthy ____ a second time.A.to readB.readingC.to be readD.of read是 worthy 不是worth，worthy后面也加doing?

选择B
worth doing sth

给你一个例句，也是一样的
This is worthy mentioning.
这事值得一提。

答案选C.
be worthy to be done是固定词组，意思“值得（被）”The book you lent me is well worthy to be read a second. 意思是：“你借给我的这本书值得一读”，书是被读的。
如果用worthy of，正确的形式应该是 worthy of being read.
worthy of + being +done=be worthy to be done=worth+动词ing（用主动表示被动）
希望能理解。
至于句尾那个“a second"我个人的理解是“一会儿，一下”。老外经常会说wait me for a second.意思是等我一会儿。看到有人解释为“再读一遍”。我个人不赞同。你可以问下你的老师。大家共同探讨一下。

选B to be read ； beworthytodosth值得做某事，配得上做某事
The book you lent me is well worthy to be read a second.
翻译：
你借我的那本书很值得再读一遍。

看错了。D：be worthy of

那应该选C了 表示被动 书值得被阅读
还有is worth doing 主动表被动
例如：this book is worthy of being read
或this book is worth reading

b