I think (is working ) is the suitable answer because the first sentence has (is) in the present simple which means that the second sentence tells us about a temporary habit which might disappear.

If the first sentence had (was), it would express past habit which changed. In this case the suitable answer will be (works).

Can the teachers, please, tell me, if my opinion is right?

Hello, Ayman El-Nemr, and welcome to the Grammar Exchange.

I agree with you that "is working" is the correct answer, as it denotes a temporary habit: Tom hardly ever works, but these days he is working hard.

Where I don't agree with you is that "works" would be suitable if the first verb were in the past. The point is that the adverbial "these days" requires present continuous or present perfect continuous:

  • I'm working hard these days.
  • I've been working hard these days.

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