I want to say I am working on this problem in my free time and it won't affect my daily tasks. Is the following correct?
I am working on this problem in the background.
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Sign up to join this communityI want to say I am working on this problem in my free time and it won't affect my daily tasks. Is the following correct?
I am working on this problem in the background.
in the background
2 behind the scenes, unnoticed, out of the limelight
Rosemary likes to stay in the background.
(Collins Dictionary)
In the background is closer in meaning to being unseen, hidden not "free time". So I am working on this problem in the background sounds like you are trying to hide something or keep it a secret.
I would stick to free time, spare time or time off.
- free time
Noun
(uncountable)
Time that can be spent on one's own activities rather than work.
I love to play football in my free time.
(Your Dictionary)- spare time
uncountable noun
Your spare time is the time during which you do not have to work and you can do whatever you like
• In her spare time she read books on cooking.
• I spend a lot of my spare time watching videos.
(Collins Dictionary)- time off
noun
time for rest or recreation away from your usual work or studies
(Collins Dictionary)
A more informal phrase is "on my down time".
Another phrase to consider is on the side:
on the side
1. in addition to your regular job or activities He drives a bus, but he's a tour guide on the side.
(TFD)
On the side suggests you have a primary task or problem that you're working on and that this problem is secondary.
As mentioned in the comments, if you say you are working on it in the background you may be understood as saying you are spending company time on the problem. I would say
I am working on this project on my own time
Or
I am working on a side project in my free time.
I am working on this problem in the background isn't = I am working on this problem in my free time.
The former sentence expresses your intended meaning. The latter means that you are working on this problem in a place or situation in which people cannot notice you.