We are taking advantage of various online programs for further study, which allow us to learn wherever whenever and however works best for us.
本句，三个表示时间、地点、方式的连词没有问题，问题在于从句缺少主语。就是说 works 缺少主语，加上 it 就可以了。wherever whenever and however it works best for us. it 指 “学习” 这件事，works 指有效，合适。
特别说明一下：这三个连词，还可以理解为“融合型关系副词”，相当于：at any time when, at any place where, in whatever way。
意思是：在任何时间、任何地点，以及用最适合我们的方式。
